{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "007f4264-180d-47e8-a848-7b0b79641c00",
   "metadata": {},
   "source": [
    "# Documentation for RCSJ Model Analysis Project\n",
    "## Authors\n",
    "Alex Cui\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b01ff764-579f-4968-bcfe-b14e81205501",
   "metadata": {},
   "source": [
    "## Sources\n",
    "\n",
    "- Hogg, David W., Jo Bovy, and Dustin Lang. &ldquo;Data Analysis Recipes: Fitting a Model to Data.&rdquo; ArXiv:1008.4686 [Astro-Ph, Physics:Physics], August 27, 2010. http://arxiv.org/abs/1008.4686.\n",
    "\n",
    "- `pymc` documentation: https://docs.pymc.io/\n",
    "\n",
    "- Hamada, Michael S., Alyson G. Wilson, C. Shane Reese, and Harry F. Martz. Bayesian Reliability. Springer Series in Statistics. New York, NY: Springer, 2008. https://doi.org/10.1007/978-0-387-77950-8."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "594a966c-ec6d-47f0-9492-6e84268b607a",
   "metadata": {},
   "source": [
    "### Import the package\n",
    "Here we will import the package to ensure that the Github is set up correctly."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "4b77957c-63ac-415f-9195-4ad306a2553d",
   "metadata": {},
   "outputs": [],
   "source": [
    "import rcsj_model_analysis as rma\n",
    "from rcsj_model_analysis import simulating_data\n",
    "from rcsj_model_analysis import io\n",
    "from rcsj_model_analysis import inference222\n",
    "from rcsj_model_analysis import model\n",
    "\n",
    "import numpy as np\n",
    "from scipy import stats\n",
    "from scipy import constants\n",
    "import scipy.io as spio\n",
    "from scipy.integrate import quad, simpson, cumtrapz\n",
    "import pymc as pm\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "\n",
    "import pytensor.tensor as pt\n",
    "\n",
    "import arviz as az\n",
    "import xarray as xr"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "cf8ee7a5-c4e6-40b3-850b-0351c6874c78",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.0545718176461565e-34\n",
      "1.380649e-23\n",
      "1.602176634e-19\n"
     ]
    }
   ],
   "source": [
    "# importing scientific constants from scipy\n",
    "h_bar = constants.hbar\n",
    "k_B = constants.Boltzmann\n",
    "elementary_charge = constants.elementary_charge\n",
    "print(h_bar)\n",
    "print(k_B)\n",
    "print(elementary_charge)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "eed79411-27fe-4859-aee2-46b0233e2308",
   "metadata": {},
   "source": [
    "# Generating Data\n",
    "We model the Josephson Junction with the RCSJ model. In this model, the phase between the two superconducting electrodes can be modeled as a particle in the Free Energy landscape $F(\\varphi)$. The dynamics of the system has a direct analogy to the 1-d dynamic of a classical particle moving in a tilted-washboard potential, where the tilt is due to the applied current.\n",
    "\n",
    "For the experiment, we initialize the phase particle into the potential minima. Then we try to excite the particle out of the minima by ramping the current. The particle will escape from the minima due to thermal activation with some probability at each current value. Then, we repeat the experiment over many cycles. We call the current when the phase particle escapes as switching current.\n",
    "\n",
    "The escape rate for the system can be modeled by the Arrhenius equation:\n",
    "$$\\Gamma = f \\exp(-\\frac{\\Delta U}{k_B T})$$\n",
    "\n",
    "Where $\\Gamma$ is the escape rate, $f$ is the plasma frequency, $\\Delta U$ is the barrier height or activation energy, $k_B$ is the Boltzmann constant, and $T$ is the temperature of the system. Here $\\Delta U$ and $f$ are functions of the normalized current $\\eta=\\frac{I}{I_c}$:\n",
    "$$\\Delta U(\\eta) = 2 E_J ( \\sqrt{1-\\eta^2}-\\eta \\cos^{-1}\\eta )$$\n",
    "$$f =  f_0 (1-\\eta^2)^{1/4}$$\n",
    "Where $E_J=\\frac{\\hbar I_c}{2e}$ is the Josephson energy.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0315bf9b-9b7e-405a-8564-5050a6ef4bb2",
   "metadata": {},
   "source": [
    "## Reliability Analysis\n",
    "To model the switching current of the system, we use the methods of reliability analysis. In the engineering literature, reliability analysis refers to several types of analysis to predict the failure of components and systems. One type of reliability analysis involves modeling the time to failure. In our experiment, we ramp our current in time, and we model the time the system switches from superconducting state to normal state."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7faf54dc-8aea-4569-8fa2-4c703dbedbbd",
   "metadata": {},
   "source": [
    "### The Reliability Function\n",
    "Say we have a many identical components (like light bulbs), and we turn them all on at time $t=0$.  We then wait until each one burns out, and we record the time at which it burns out $T$. We model the distribution of failure times using a probability density function $f(t)$. We can also define the *reliability function* $R(t)$ as the probability that the failure time $T$ exceeds $t$:\n",
    "$$\n",
    "R(t) = p(T>t).\n",
    "$$\n",
    "The reliability function is also called the *survival function* because it tells us the probability that a component will survive longer than $t$. The reliability function is related to the cumulative distribution function $F(t)$, which itself is the integral of $f(t)$:\n",
    "$$\n",
    "R(t) = 1 - F(t) = 1- \\int_0^t f(s)\\,ds,\n",
    "$$\n",
    "where $s$ is a dummy variable."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4874d631-7377-4806-b2df-3f31bbd722f1",
   "metadata": {},
   "source": [
    "### The Hazard Function\n",
    "The reliability function is related to the rate at which failures occur, which is given by the *hazard function* $h(t)$:\n",
    "$$\n",
    "h(t) = \\lim_{\\Delta t \\to 0} \\frac{p(t < T\\leq t + \\Delta t \\mid T>t)}{\\Delta t}.\n",
    "$$\n",
    "The hazard function is instantaneous rate of failure at any time $t$, given that the component has not yet failed.  It can be expressed in terms of the reliability function $R(t)$ and a probability density function $f(t)$ that describes the component lifetimes:\n",
    "$$\n",
    "h(t) = f(t)/R(t)\n",
    "$$\n",
    "Note that the hazard function itself a function of time, which means that it can model situations where the failure rate changes with time.  In reliability analysis, a failure rate might increase with time because as components age, they become more prone to failure.  There are also situations in which the failure rate can decrease with time.\n",
    "\n",
    "In our experiment, the hazard function is equal to the Arrhenius equation mentioned above, since both functions measure the instantaneous rate of transition at any time $t$.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "77dd215c-4466-49eb-a4e9-a1e2232c1f96",
   "metadata": {},
   "source": [
    "Plot the probability density function and cumulative density function:"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bb156433-a785-404e-b96f-6c7cb370f6a3",
   "metadata": {},
   "source": [
    "# Statistical Inference\n",
    "Now say we have many cycles of experiment and for each we record the lifetime (time to switch) $T_i$.  Because each switching event is independent of the others, the likelihood function is just the product of the switching probabilities. Thus the statistical model is:\n",
    "\n",
    "\\begin{align}\n",
    "p\\left(\\left\\{T_i\\right\\} \\mid h(t)\\right) &= \\prod_{i=0}^N f(T_i)\\\\\n",
    "f(t) &= h(t) \\exp\\left(-\\int_0^t h(s)\\, ds\\right)\\\\\n",
    "h(t) &= f(t) \\exp(-\\frac{\\Delta U(t)}{k_B T})\\\\\n",
    "I_c &\\sim uniform\\\\\n",
    "\\end{align}\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a62543bb-6a90-415a-9568-5d343a5bd38b",
   "metadata": {},
   "source": [
    "The log likelihood of the system is:\n",
    "\n",
    "$$\n",
    "\\begin{split}\n",
    "\\log p\\left(\\left\\{T_i\\right\\} \\mid h(t)\\right) &= \\sum_{i=0}^N \\log f(T_i) \\\\\n",
    "& = \\sum_{i=0}^N \\log\\left[h(T_i)\\right] -\\int_0^{T_i} h(s)\\, ds.\n",
    "\\end{split}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0bf6538a-36cd-43ce-8c72-7e03c3935c4b",
   "metadata": {},
   "source": [
    "## Analyzing Real Data\n",
    "We import experimental data from the measurements using `scipy.io`. The switching current distribution is more broadened than the simulated data. In addiiton to the critical current, we add the plasma frequency and temperature as parameters for estimation. The new statistical model is:\n",
    "\\begin{align}\n",
    "p\\left(\\left\\{T_i\\right\\} \\mid h(t)\\right) &= \\prod_{i=0}^N f(T_i)\\\\\n",
    "f(t) &= h(t) \\exp\\left(-\\int_0^t h(s)\\, ds\\right)\\\\\n",
    "h(t) &= f(t) \\exp(-\\frac{\\Delta U(t)}{k_B T})\\\\\n",
    "I_c &\\sim uniform\\\\\n",
    "f_{j0} &\\sim Jeffrey's\\\\\n",
    "Temperature &\\sim Jeffrey's\\\\\n",
    "\\end{align}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "1affad09-ec8c-434e-8b80-f49a7f847588",
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Load experimental data from the Real_data folder\n",
    "B00_full = spio.loadmat('data/C0022Icpos.mat',squeeze_me=True)\n",
    "Full10K = B00_full['Ic5Kpos']\n",
    "# plot the histogram as data\n",
    "plt.hist(Full10K,bins=20);\n",
    "plt.title('Switching Current Distribution at 22K Full sweep')\n",
    "plt.xlabel('Current (mA)');\n",
    "plt.ylabel('Counts');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "id": "af748b79-991d-4395-b917-1644d641d549",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Multiprocess sampling (4 chains in 4 jobs)\n",
      "CompoundStep\n",
      ">Slice: [critical_current]\n",
      ">Slice: [U_0]\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "\n",
       "<style>\n",
       "    /* Turns off some styling */\n",
       "    progress {\n",
       "        /* gets rid of default border in Firefox and Opera. */\n",
       "        border: none;\n",
       "        /* Needs to be in here for Safari polyfill so background images work as expected. */\n",
       "        background-size: auto;\n",
       "    }\n",
       "    progress:not([value]), progress:not([value])::-webkit-progress-bar {\n",
       "        background: repeating-linear-gradient(45deg, #7e7e7e, #7e7e7e 10px, #5c5c5c 10px, #5c5c5c 20px);\n",
       "    }\n",
       "    .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n",
       "        background: #F44336;\n",
       "    }\n",
       "</style>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "\n",
       "    <div>\n",
       "      <progress value='8400' class='' max='8400' style='width:300px; height:20px; vertical-align: middle;'></progress>\n",
       "      100.00% [8400/8400 03:02&lt;00:00 Sampling 4 chains, 0 divergences]\n",
       "    </div>\n",
       "    "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sampling 4 chains for 100 tune and 2_000 draw iterations (400 + 8_000 draws total) took 207 seconds.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x400 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Load the data and determine the upper bound, fix the plasma frequency\n",
    "switching_values = Full10K/(10**4)\n",
    "upper_prior = 6/(10**4)\n",
    "Temp = 22\n",
    "ramp_speed = 1.44/(10**3) # The ramp speed units should be A/s\n",
    "f_j0 = 1.52*10**12 # real value of int72\n",
    "# rcsj_model4 uses critical current, U_0 as parameters\n",
    "model5 = model.rcsj_model5(switching_values,upper_prior,f_j0,Temp,ramp_speed)\n",
    "\n",
    "with model5:\n",
    "    idata4 = pm.sample(2000, tune=100)\n",
    "    az.plot_trace(idata4);\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "id": "d98f4b07-5c52-48e8-a5e9-18e4a64e9b75",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# FigS24C\n",
    "C00_full22 = spio.loadmat('data/C0022Icpos.mat',squeeze_me=True)\n",
    "Full22K = C00_full22['Ic5Kpos']\n",
    "\n",
    "# plot the pdf of the histogram and fit\n",
    "I = np.linspace(0, 0.4, 10000)*(10**(-3))\n",
    "q_22 = idata4.posterior.quantile([0.50])\n",
    "critical_current_22 = q_22['critical_current'].sel(quantile=0.5).to_numpy()\n",
    "U_0_22 = q_22['U_0'].sel(quantile=0.5).to_numpy()\n",
    "Temp = 22 #Change the Temperature for different fits\n",
    "f_j0 = 1.52*10**12\n",
    "ramp_speed = 1.44/10**3\n",
    "# Create an object to plot the pdf of the model\n",
    "failure_dist22 = simulating_data.FailureDist_new(name=\"failures\", ramp_speed = ramp_speed, critical_current=critical_current_22,\n",
    "                                   f_j0=f_j0, Temp=Temp,U_0=U_0_22)\n",
    "\n",
    "fig,ax2 = plt.subplots()\n",
    "ax2.plot(I, failure_dist22.pdf(I));\n",
    "plt.xlim([0/(10**3),0.4/(10**3)])\n",
    "ax2.hist(Full22K/(10**4),density=True)\n",
    "plt.xlabel('Current (A)');\n",
    "plt.ylabel('Probability Density');\n",
    "plt.title('pdf of data vs fit');\n",
    "plt.ylim([0, 150000]);\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "532d352c-3071-4eee-801a-b614eb3035a2",
   "metadata": {},
   "source": [
    "## Plots for Fig24"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "cda256f5-6cfc-4340-958c-611f188a3634",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# FigS24A 10K positive\n",
    "B00_full = spio.loadmat('data/B0010Icpos.mat',squeeze_me=True)\n",
    "B00_half = spio.loadmat('data/B0010Icposh.mat',squeeze_me=True)\n",
    "Full10K = B00_full['Ic5Kpos'] # flip the sign of the critical current for inference\n",
    "Half10K = B00_half['Ic5Kposh']\n",
    "\n",
    "idatapf = az.from_netcdf(\"data/B0010FullPos.nc\")\n",
    "idataph = az.from_netcdf(\"data/B0010HalfPos.nc\")\n",
    "# plot the pdf of the histogram and fit\n",
    "I = np.linspace(0, 1.5, 10000)*(10**(-3))\n",
    "q_ph = idataph.posterior.quantile([0.50])\n",
    "critical_current_ph = q_ph['critical_current'].sel(quantile=0.5).to_numpy()\n",
    "U_0_ph = q_ph['U_0'].sel(quantile=0.5).to_numpy()\n",
    "\n",
    "q_pf = idatapf.posterior.quantile([0.50])\n",
    "critical_current_pf = q_pf['critical_current'].sel(quantile=0.5).to_numpy()\n",
    "U_0_pf = 10**q_pf['log_U_0'].sel(quantile=0.5).to_numpy()\n",
    "\n",
    "f_j0 = 1.4*10**12\n",
    "ramp_speed = 6/(10**3)\n",
    "Temp = 10 #Change the Temperature for different fits\n",
    "\n",
    "# Create an object to plot the pdf of the model\n",
    "failure_distph = simulating_data.FailureDist_new(name=\"failures\", ramp_speed = ramp_speed, critical_current=critical_current_ph,\n",
    "                                   f_j0=f_j0, Temp=Temp,U_0=U_0_ph)\n",
    "\n",
    "failure_distpf = simulating_data.FailureDist_new(name=\"failures\", ramp_speed = ramp_speed, critical_current=critical_current_pf,\n",
    "                                   f_j0=f_j0, Temp=Temp,U_0=U_0_pf)\n",
    "\n",
    "fig,ax2 = plt.subplots()\n",
    "ax2.plot(I, failure_distph.pdf(I));\n",
    "ax2.plot(I, failure_distpf.pdf(I));\n",
    "plt.xlim([0/(10**3),1.5/(10**3)])\n",
    "ax2.hist(Half10K/(10**3),density=True);\n",
    "ax2.hist(Full10K/(10**3),density=True)\n",
    "plt.xlabel('Current (A)');\n",
    "plt.ylabel('Probability Density');\n",
    "plt.title('pdf of data vs fit');\n",
    "plt.ylim([0, 65000]);\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "cebb76bf-1e16-4283-bac3-85a2524107c2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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kpKQAAHQ6HR566CHMnj0bHTt2REhICObMmYPevXvLdwHv1asXRo0ahSlTpuDdd98FADzyyCMYO3YsYmJiAFjveh4bG4vU1FQsXrwYeXl5mDNnDqZMmcKMEREREQHwctB06dIlpKamIjs7GzqdDn369EF6ejpGjhwJAJg7dy7KysowdepU5OfnY8CAAdi6davdmuOSJUugVqsxYcIElJWVYfjw4VizZg1UKpU8Zv369ZgxY4Z8ld24ceOwfPly+XmVSoXNmzdj6tSpGDx4MAIDA5GSkoI33njDQ2eCiIiIfB1vo+JChYWF0Ol00Ov1zFARERE1E0r/fvtcTRMRERGRL2LQRERERKQAgyYiIiIiBRg0ERERESnAoImIiIhIAQZNRERERAowaCIiIiJSgEETERERkQIMmoiIiIgUYNBEREREpACDJiIiIiIFGDQRERERKcCgiYiIiEgBBk1ERERECjBoIiIiIlKAQRMRERGRAgyaiIiIiBRg0ERERESkAIMmIiIiIgUYNBEREREpwKCJiIiISAEGTUREREQKMGgiIiIiUkDt7QkQERG1Zlk9e9k97nUsy0szocYw00RERESkAIMmIiIiIgUYNBEREREpwKCJiIiISAEGTUREREQKMGgiIiIiUoBBExEREZECDJqIiIiIFGDQRERERKQAgyYiIiIiBRg0ERERESnAoImIiIhIAQZNRERERAowaCIiIiJSgEETERERkQIMmoiIiIgUYNBEREREpACDJiIiIiIFGDQRERERKcCgiYiIiEgBBk1ERERECjBoIiIiIlKAQRMRERGRAgyaiIiIiBRg0ERERESkAIMmIiIiIgW8GjQtXLgQt9xyC9q1a4ewsDCMHz8ex48ftxszefJkSJJk9zVw4EC7MQaDAdOnT0doaCiCgoIwbtw4nD9/3m5Mfn4+UlNTodPpoNPpkJqaioKCArsxZ8+eRXJyMoKCghAaGooZM2bAaDS65b0TERFR8+LVoGnnzp2YNm0a9u3bh23btqGiogKJiYkoKSmxGzdq1ChkZ2fLX1u2bLF7fubMmfjss8+wYcMG7N69G8XFxRg7dizMZrM8JiUlBZmZmUhPT0d6ejoyMzORmpoqP282mzFmzBiUlJRg9+7d2LBhAzZu3IjZs2e79yQQERFRsyAJIYS3J2Fz+fJlhIWFYefOnbjtttsAWDNNBQUF+Pzzz+t8jV6vR6dOnbB27Vrce++9AICLFy+ic+fO2LJlC5KSkpCVlYXY2Fjs27cPAwYMAADs27cPCQkJOHbsGGJiYvD1119j7NixOHfuHKKiogAAGzZswOTJk5Gbm4v27ds3Ov/CwkLodDro9XpF44mIiLJ69rJ73OtYlpdm0nop/fvtUzVNer0eABASEmK3fceOHQgLC0OPHj0wZcoU5Obmys9lZGTAZDIhMTFR3hYVFYW4uDjs2bMHALB3717odDo5YAKAgQMHQqfT2Y2Ji4uTAyYASEpKgsFgQEZGhuvfLBERETUram9PwEYIgVmzZuHWW29FXFycvH306NH485//jOjoaJw6dQovvvgibr/9dmRkZECr1SInJwcajQbBwcF2+wsPD0dOTg4AICcnB2FhYbWOGRYWZjcmPDzc7vng4GBoNBp5TE0GgwEGg0F+XFhY6NybJyIiIp/nM0HTE088gV9++QW7d++2225bcgOAuLg49OvXD9HR0di8eTPuvvvuevcnhIAkSfLj6j83ZUx1CxcuxPz58+t/U0RERNRi+MTy3PTp0/Hll19i+/btuPbaaxscGxkZiejoaJw4cQIAEBERAaPRiPz8fLtxubm5cuYoIiICly5dqrWvy5cv242pmVHKz8+HyWSqlYGymTdvHvR6vfx17tw5ZW+YiIiImh2vBk1CCDzxxBP49NNP8f3336Nbt26Nvubq1as4d+4cIiMjAQDx8fHw9/fHtm3b5DHZ2dk4cuQIBg0aBABISEiAXq/HgQMH5DH79++HXq+3G3PkyBFkZ2fLY7Zu3QqtVov4+Pg656LVatG+fXu7LyIiImqZvHr13NSpU/Hhhx/iiy++QExMjLxdp9MhMDAQxcXFSEtLwz333IPIyEicPn0azz33HM6ePYusrCy0a9cOAPD4449j06ZNWLNmDUJCQjBnzhxcvXoVGRkZUKlUAKy1URcvXsS7774LAHjkkUcQHR2Nr776CoC15cBNN92E8PBwLF68GHl5eZg8eTLGjx+PZcuWKXo/vHqOiIgcxavnvK9ZXD23cuVK6PV6DB06FJGRkfLXxx9/DABQqVQ4fPgw7rzzTvTo0QOTJk1Cjx49sHfvXjlgAoAlS5Zg/PjxmDBhAgYPHow2bdrgq6++kgMmAFi/fj169+6NxMREJCYmok+fPli7dq38vEqlwubNmxEQEIDBgwdjwoQJGD9+PN544w3PnRAiIiLyWT7Vp6m5Y6aJiIgcxUyT9zWLTBMRERFRc8GgiYiIiEgBBk1ERERECjBoIiIiIlKAQRMRERGRAgyaiIiIiBRg0ERERESkAIMmIiIiIgUYNBEREREpwKCJiIiISAEGTUREREQKMGgiIiIiUoBBExEREZECDJqIiIiIFGDQRERERKQAgyYiIiIiBRg0ERERESnAoImIiIhIAQZNREREAHb+dhlr952BxSK8PRXyUWpvT4CIiMjbLhSU4aE1P6HCItAxSIM7ekd6e0rkg5hpIiKiVm/7sVxUVGaYdh6/7OXZkK9i0ERERK3eiUtFVT/nFjUwklozBk1ERNTqnbxSIv985mqpF2dCvoxBExERtXqnqgVNV0uMMFZYvDgb8lUMmoiIqFUTQuB8QaHdtr5rbkPv93t7aUbkqxg0ERFRq1ZYXgEIfwCApCoGAIiK9t6cEvkoBk1ERNSqXSk2WH/wK4fknwcAsFS08+KMyFcxaCIiolbtcpE1aJLURZBUZdaN5kAvzoh8FYMmIiJq1WxBk1+1oEkwaKI6MGgiIqJWzbY8J6mKq4ImC4Mmqo23USEiolZNDprUxZD8ygEw00R1Y9BEREStmr7MBACQVKWQ/KwBlDeDpqyevewe9zqW5aWZUE0MmoiIqFXTl1UAgHVpzgeCJvJdDJqIiKhVK7RlmvzKAdvyHGuaqA4MmoiIqFWzLc9BVQbJz2j92aL13oTIZ/HqOSIiatUKy22ZprKqmiaLxptTgjrAjJCYYvhpeA88X8JMExERtWqF1WuapMogxatBk0Dn2/IQEGJCQIjJi/Ogmhg0ERFRqyWEqKppUpUBkKzbvbg859/WLAdL7buUARYL4MeFIV/AfwUiImq1DBUWGM3W7JLkVwZJqqxpEv4Qwjt/IgM6VGWXJAmA/qxX5kG1MWgiIqJWSy4ChxnwM8otBwAAFn+vzCkguMaS3OXjXpkH1cagiYiIWq2qpblya1ZHMgMwA/DeEp1/kNl+g/68V+ZBtTFoIiKiVkvONPlZ7zknSbBmnACvFYP7t7EGTWaDtb4KRdlemQfVxqCJiIhaLbndQOWNegFUazvgnUyTujJoKrtaGbQVMmjyFQyaiIio1ZLbDVR2Arf+bM00eadXk4B/YI2gqeiiF+ZBdWHQRERErVaxwdajqVoBuK0Y3AtBkzrAAkkFCAtQnl9ZiF561ePzoLoxaCIiolarzFhZdG1rNYBqmSbh+eU5VYC1/YHZ4IcKQ+Wf6LJ8j8+D6sagiYiIWq0So215ripogheX51Raa9BUYfCDxWgLmgo8Pg+qG4MmIiJqteRMU7X+TJJUeUWdF/o0qbVVmSb56jlDIWDm7VR8AYMmIiJqtaoyTdWCEj/rNgjPB02q6kGTqdqf6HK9x+dCtTFoIiKiVqu0MtMk1ZFpEl7INKm0th5NfoCQYDZWZptY1+QTeMNeIiJqVXq/31v+uez8RABxVQ0tAcC2PCc8/ydSpamqaQIAs9EPKo2ZQZOP8GqmaeHChbjlllvQrl07hIWFYfz48Th+3P4eO0IIpKWlISoqCoGBgRg6dCh+/fVXuzEGgwHTp09HaGgogoKCMG7cOJw/b992Pj8/H6mpqdDpdNDpdEhNTUVBQYHdmLNnzyI5ORlBQUEIDQ3FjBkzYDQaQURELZOt2Lt6Ibhtqc4bmSZ1tavnqn9n0OQbvBo07dy5E9OmTcO+ffuwbds2VFRUIDExESUlJfKYRYsW4a233sLy5cvx008/ISIiAiNHjkRRUZE8ZubMmfjss8+wYcMG7N69G8XFxRg7dizM5qr796SkpCAzMxPp6elIT09HZmYmUlNT5efNZjPGjBmDkpIS7N69Gxs2bMDGjRsxe/Zsz5wMIiLyPNsVclJdmSYv1jRVXjlnqbAVgxfV9xLyIIdzj2lpaXjggQcQHR3d5IOnp6fbPV69ejXCwsKQkZGB2267DUIILF26FM8//zzuvvtuAMD777+P8PBwfPjhh3j00Ueh1+uxatUqrF27FiNGjAAArFu3Dp07d8a3336LpKQkZGVlIT09Hfv27cOAAQMAAO+99x4SEhJw/PhxxMTEYOvWrTh69CjOnTuHqKgoAMCbb76JyZMn49VXX0X79u2b/H6JiMi3NJhp8kbQpLHPNFlsxeAMmnyCw5mmr776Ctdddx2GDx+ODz/8EOXl5Y2/SCG93np1QEhICADg1KlTyMnJQWJiojxGq9ViyJAh2LNnDwAgIyMDJpPJbkxUVBTi4uLkMXv37oVOp5MDJgAYOHAgdDqd3Zi4uDg5YAKApKQkGAwGZGRk1Dlfg8GAwsJCuy8iImo+qoKmah3B5ZYDXqhp0tYImmyZJmOxx+dCtTkcNGVkZODQoUPo06cPnnrqKURGRuLxxx/HTz/91KSJCCEwa9Ys3HrrrYiLiwMA5OTkAADCw8PtxoaHh8vP5eTkQKPRIDg4uMExYWFhtY4ZFhZmN6bmcYKDg6HRaOQxNS1cuFCukdLpdOjcubOjb5uIiLzJtjxXreWAVNlywPOZJmHX3BIALCbb8hyDJl/gVE1Tnz59sGTJEly4cAH/+te/cOHCBQwePBi9e/fG22+/LWeMHPHEE0/gl19+wUcffVTrOUmS7B4LIWptq6nmmLrGOzOmunnz5kGv18tf586da3BORETkW2y3Sqk70+TZoEnyA/xUlYeuWdPETJNPaFIhuMVigdFohMFggBACISEhWLlyJTp37oyPP/5Y8X6mT5+OL7/8Etu3b8e1114rb4+IiACAWpme3NxcOSsUEREBo9GI/Pz8BsdcunSp1nEvX75sN6bmcfLz82EymWploGy0Wi3at29v90VERM2DEKgKjOxuo+KdmiY/f4v8sy1YslSwpsmXOBU0ZWRk4IknnkBkZCSeeuop9O3bF1lZWdi5cyeOHTuGl19+GTNmzGh0P0IIPPHEE/j000/x/fffo1u3bnbPd+vWDREREdi2bZu8zWg0YufOnRg0aBAAID4+Hv7+/nZjsrOzceTIEXlMQkIC9Ho9Dhw4II/Zv38/9Hq93ZgjR44gOztbHrN161ZotVrEx8c7cZaIiMinCX/Y/gzaFYJ7KdPk5y+shzVJAKxBk9nETJMvcbjKrU+fPsjKykJiYiJWrVqF5ORkqFQquzF/+ctf8PTTTze6r2nTpuHDDz/EF198gXbt2smZHp1Oh8DAQEiShJkzZ2LBggXo3r07unfvjgULFqBNmzZISUmRxz700EOYPXs2OnbsiJCQEMyZMwe9e/eWr6br1asXRo0ahSlTpuDdd98FADzyyCMYO3YsYmJiAACJiYmIjY1FamoqFi9ejLy8PMyZMwdTpkxhBomIqAWyuyGvVNdtVDxbCO6nrgyaKqpKQqpaDjBo8gUO/0b8+c9/xoMPPohrrrmm3jGdOnWCxWKp93mblStXAgCGDh1qt3316tWYPHkyAGDu3LkoKyvD1KlTkZ+fjwEDBmDr1q1o166dPH7JkiVQq9WYMGECysrKMHz4cKxZs8YumFu/fj1mzJghX2U3btw4LF++XH5epVJh8+bNmDp1KgYPHozAwECkpKTgjTfeaPR9EBFRM1StR5MkCXmzt26jYluek7NLqNZygJkmn+Bw0CSEqHWlGgCUlZVh8eLFeOmllxzaV2MkSUJaWhrS0tLqHRMQEIBly5Zh2bJl9Y4JCQnBunXrGjxWly5dsGnTpkbnREREzV+d7QYArzW3rMo0VVXOsBDctzhc0zR//nwUF9f+xystLcX8+fNdMikiIiK3E7Z2A/a3y/JWc0uVXU2TFZfnfIvDQVN9l+D/97//lZtSEhER+TphsbUbqHGPUS81t/RTW5fn7GqauDznUxT/RgQHB0OSJEiShB49etgFTmazGcXFxXjsscfcMkkiIiJXkwvBa2WaKgvBoYLJbIG/yjO3aa26eq6O5TlmmnyC4qBp6dKlEELgwQcfxPz586HT6eTnNBoNunbtioSEBLdMkoiIyOXquO+cdUPVlXTlJrPngiZ17eU5YQuaKsqsjaUaaexM7qU4aJo0aRIAa++kQYMGwd/f8zcyJCIichW5EFyqGTRVALAA8EO5yYJ2AZ6Zj+3qObvlOXPlz8ICmI2AWuuZyVCdFAVNhYWFcq+ivn37oqysDGVlZXWOZU8jIiJqFupbnpNgDZyEBuUms8emIy/P1XX1HACYShk0eZmioCk4OBjZ2dkICwtDhw4dGrxHm9nsuV8wIiIiZ1UVghtqPymZAQEYKhrvOegqtuW56n2aICTATw1YKgBTGRBYu+UPeY6ioOn777+Xr4zbvn27WydERETkEbaWAn6mWk9JUgUEAKNHg6bK5TlTjRoq/zaAodAaNJFXKQqahgwZUufPREREzVXDmSbrFXRGs+eCJrlPU0WN1Rx1AIMmH+HwJQHp6enYvXu3/Pidd97BTTfdhJSUFOTn57t0ckRERO5SX8sB67bKoMmTmSZbIbipRtDkH2j9zqDJ6xwOmp5++mkUFhYCAA4fPoxZs2bhjjvuwMmTJzFr1iyXT5CIiMgt6rt6DoAkWetzPbs8V7tPEwDr8hxgLQQnr3K43empU6cQGxsLANi4cSOSk5OxYMECHDp0CHfccYfLJ0hEROQOor4+TUC15TlvXD3HTJOvcjjTpNFoUFpqjXa//fZbJCYmArDeENeWgSIiIvJ5DS3PSV5YnlPXFzQx0+QrHM403XrrrZg1axYGDx6MAwcO4OOPPwYA/Pbbb7j22mtdPkEiIiJ3aKgQ3LY857GWA5JoYHmOmSZf4XCmafny5VCr1fjkk0+wcuVKXHPNNQCAr7/+GqNGjXL5BImIiNxByC0H6so0WdsQeCrTZAuYAMBcK9NU2ZK8gkGTtzmcaerSpQs2bdpUa/uSJUtcMiEiIiKPkDNNDRSCe6jlgHzlnBmApb7lOQZN3uZw0AQAFosFv//+O3Jzc2Gx2P9C3XbbbS6ZGBERkTs1WAju4ZYD9S7NAVye8yEOB0379u1DSkoKzpw5AyGE3XO8jQoRETUHQqCqELyOlgOeLgSvt7ElwEJwH+Jw0PTYY4+hX79+2Lx5MyIjI+u8Dx0REZFPE2rYynrrXp7zcKapvsaWADNNPsThoOnEiRP45JNPcP3117tjPkRERG4ndwMH6ikE93BNk9xugMtzvszhq+cGDBiA33//3R1zISIi8ozKInBIRkiSqP28xzNNtpqmOjJNagZNvsLhTNP06dMxe/Zs5OTkoHfv3vD397d7vk+fPi6bHBERkTvY2g3UWQSOquU5T/Vp8lNXLs/VWdNkC5pY0+RtDgdN99xzDwDgwQcflLdJkgQhBAvBiYioebBlmuoJmjy+POff0NVzbDngK5y69xwREVFz1mC7AcDzy3OVNU3mOgvBK5tbMmjyOoeDpujoaHfMg4iIyHMaajcAQPJ0nyb/Bpbn1JVBk7n27V7IsxwuBAeAtWvXYvDgwYiKisKZM2cAAEuXLsUXX3zh0skRERG5g69mmupcnlNXLiVWMGjyNoeDppUrV2LWrFm44447UFBQINcwdejQAUuXLnX1/IiIiFyusaCp6oa9nqnTbbC5pS3TVFHukblQ/RwOmpYtW4b33nsPzz//PFQqlby9X79+OHz4sEsnR0RE5BZyIXg92RtbpsnT956rq6ZJZcs01ZMVI49xOGg6deoU+vbtW2u7VqtFSUmJSyZFRETkTkL46PJcXc0t5eU5Zpq8zeGgqVu3bsjMzKy1/euvv0ZsbKwr5kRERORetkLwRpbnPF/T1NDyHGuavM3hq+eefvppTJs2DeXl5RBC4MCBA/joo4+wcOFC/POf/3THHImIiFxKrmmq5+o5eLq5ZYNXzzHT5CscDpoeeOABVFRUYO7cuSgtLUVKSgquueYavP3227jvvvvcMUciIiKXEo1kmjxf02Tr01TX8ly1lgNCAFIdgRV5hMNBEwBMmTIFU6ZMwZUrV2CxWBAWFubqeREREblPY1fPebRPk2hkea7azYXNxqrME3mcU0HTlStXcPr0aUiShK5du7p4SkRERO7lS32aJLWQk0cNthwArEt0DJq8xqFC8F9//RW33XYbwsPDMWDAAPTv3x9hYWG4/fbbcfz4cXfNkYiIyLV8qOWAqjLLJCyAMNfVcqBaponF4F6lONOUk5ODIUOGoFOnTnjrrbfQs2dPCCFw9OhRvPfee/jjH/+II0eOcKmOiIh8nhD+ABpvbumJTJOfXWPLOoImSbJmmyrKWQzuZYqDpiVLliA6Oho//vgjAgKqUoWjRo3C448/jltvvRVLlizBwoUL3TJRIiIiVxFypsn7y3N+altjywYWf9TayqCJmSZvUrw8t23bNjzzzDN2AZNNYGAgnn76aXzzzTcunRwREZFbKGw5UGERsFiEW6fi19AtVGxUbDvgCxQHTSdPnsTNN99c7/P9+vXDyZMnXTIpIiIid2r83nMV8s/urmtq8BYqNnKDS95KxZsUB01FRUVo3759vc+3a9cOxcXFLpkUERGRuwiBRjuCw6/qRr3ubnBpazdgbijTxAaXPsGhlgNFRUV1Ls8BQGFhIYRwbwqTiIioyYQKgPWG81J9V8+hKmgyuT3TZOvR1FBNky3TxKDJmxQHTUII9OjRo8HnJXYpJSIiX2ep1ufIz1TnEEmCta5JqN0fNKkbuIWKja3BJQvBvUpx0LR9+3Z3zoOIiMgjhKgMQCQTJKmBgEgyW4OmCveuoqiYaWo2FAdNQ4YMcec8iIiIPKLRbuA2UgUArfsLwdUKrp6z1TSZWQjuTQ51BCciImr2bEXg9bUbqCRV1jW5v6bJkavnmGnyJgZNRETUqijPNHkoaFIrWZ6zXT3HmiZvYtBEREStS2PdwG08FTSxuWWzwaCJiIhaFWFp+L5zNlX3n3N3R3Aly3PMNPkCh4OmNWvWoLS01B1zISIicruq+841EoB4eHnOXKHk6jkGTd7kcNA0b948RERE4KGHHsKePXvcMSciIiL3EY5cPefJ5pbsCO7rHA6azp8/j3Xr1iE/Px/Dhg1Dz5498frrryMnJ8cd8yMiInIppYXgkscyTUqaWzLT5AscDppUKhXGjRuHTz/9FOfOncMjjzyC9evXo0uXLhg3bhy++OILWCzKfsF++OEHJCcnIyoqCpIk4fPPP7d7fvLkyZAkye5r4MCBdmMMBgOmT5+O0NBQBAUFYdy4cTh//rzdmPz8fKSmpkKn00Gn0yE1NRUFBQV2Y86ePYvk5GQEBQUhNDQUM2bMgNHIfhhERC2OwpYDtuU5o9mNNU1CKGxuaesIzkyTNzWpEDwsLAyDBw9GQkIC/Pz8cPjwYUyePBnXXXcdduzY0ejrS0pKcOONN2L58uX1jhk1ahSys7Plry1bttg9P3PmTHz22WfYsGEDdu/ejeLiYowdOxZmc9V9g1JSUpCZmYn09HSkp6cjMzMTqamp8vNmsxljxoxBSUkJdu/ejQ0bNmDjxo2YPXu24yeFiIh8msMtB9x5w94KA6TKv8TMNPk+h27Ya3Pp0iWsXbsWq1evxsmTJzF+/Hhs2rQJI0aMQFlZGV544QVMmjQJZ86caXA/o0ePxujRoxsco9VqERERUedzer0eq1atwtq1azFixAgAwLp169C5c2d8++23SEpKQlZWFtLT07Fv3z4MGDAAAPDee+8hISEBx48fR0xMDLZu3YqjR4/i3LlziIqKAgC8+eabmDx5Ml599VW0b9/e0VNEREQ+SmkhuEeW54zF8o/KgiZmmrzJ4UxTcnIyOnfujDVr1mDKlCm4cOECPvroIzloCQwMxOzZs3Hu3DmXTHDHjh0ICwtDjx49MGXKFOTm5srPZWRkwGQyITExUd4WFRWFuLg4uUh979690Ol0csAEAAMHDoROp7MbExcXJwdMAJCUlASDwYCMjIx652YwGFBYWGj3RUREPk5uOVD3zXplnigENxRZp2SSAMHbqPg6hzNNYWFh2LlzJxISEuodExkZiVOnTjVpYoA1E/XnP/8Z0dHROHXqFF588UXcfvvtyMjIgFarRU5ODjQaDYKDg+1eFx4eLhem5+TkICwsrM73UX1MeHi43fPBwcHQaDQNFrgvXLgQ8+fPb+rbJCIiD7JlmiSFLQfcWtNkC5oayjIBVc0tTWXumws1yuFM05AhQ3DzzTfX2m40GvHBBx8AACRJQnR0dJMnd++992LMmDGIi4tDcnIyvv76a/z222/YvHlzg68TQkCSqn4Bq//clDE1zZs3D3q9Xv5yVXaNiIjcqLLlgE90BK9cnjM31G4AqCoENzeSHSO3cjhoeuCBB6DX62ttLyoqwgMPPOCSSdUnMjIS0dHROHHiBAAgIiICRqMR+fn5duNyc3PlzFFERAQuXbpUa1+XL1+2G1Mzo5Sfnw+TyVQrA1WdVqtF+/bt7b6IiMi3OdxywJ2F4AZr0GRpqLElUJVpMrMQ3JscDprqy76cP38eOp3OJZOqz9WrV3Hu3DlERkYCAOLj4+Hv749t27bJY7Kzs3HkyBEMGjQIAJCQkAC9Xo8DBw7IY/bv3w+9Xm835siRI8jOzpbHbN26FVqtFvHx8W59T0RE5GEOthxwb6apWk1TQ+SWA6xp8ibFNU19+/aVeyUNHz4canXVS81mM06dOoVRo0Y5dPDi4mL8/vvv8uNTp04hMzMTISEhCAkJQVpaGu655x5ERkbi9OnTeO655xAaGoq77roLAKDT6fDQQw9h9uzZ6NixI0JCQjBnzhz07t1bLkzv1asXRo0ahSlTpuDdd98FADzyyCMYO3YsYmJiAACJiYmIjY1FamoqFi9ejLy8PMyZMwdTpkxh9oiIqIVxtOWAe2uabJkmhTVNzDR5leKgafz48QCAzMxMJCUloW3btvJzGo0GXbt2xT333OPQwQ8ePIhhw4bJj2fNmgUAmDRpElauXInDhw/jgw8+QEFBASIjIzFs2DB8/PHHaNeunfyaJUuWQK1WY8KECSgrK8Pw4cOxZs0aqFQqecz69esxY8YM+Sq7cePG2fWGUqlU2Lx5M6ZOnYrBgwcjMDAQKSkpeOONNxx6P0RE5PuUFoJLHr16rrHlOVtNEzNN3qQ4aHr55ZcBAF27dsW9996LgICAJh986NChEKL+CP6bb75pdB8BAQFYtmwZli1bVu+YkJAQrFu3rsH9dOnSBZs2bWr0eERE1MxZfK8QnMtzzYPDLQcmTZrkjnkQERG5nbHCAsC6EqG4I7gnMk1cnmsWFAVNISEh+O233xAaGorg4OAGL8PPy8tz2eSIiIhcqdRYUfVA4dVzxgo31jQZFV49Z2tuyUyTVykKmpYsWSLXES1ZsqTBoImIiMhXlRor70sqVUCSGskgeTDT1GifJpW1izlrmrxLUdBUfUlu8uTJ7poLERGRW8mZpsbaDQAeuo2KrabJgT5NQgBMXniFoqDJkXuq8RJ9IiLyVbZMU6P1TIBnC8Ebq2myFYID1q7g1R+TxygKmjp06NDokpyt6aXZbHbJxIiIiFytxGALmhovqJY8ee+5RpfntFU/mw0MmrxEUdC0fft2d8+DiIjI7eTlOUcyTW69jYrSq+dqZJrIKxQFTUOGDHH3PIiIiNyuanlOSeDhyT5NjdU0qQHJDxAWoIJtB7xFUdD0yy+/IC4uDn5+fvjll18aHNunTx+XTIyIiMjVqjJNypfnPFII3limCbAu0VWUsVeTFykKmm666Sbk5OQgLCwMN910EyRJqrOTN2uaiIjIlzlS0+T2e8+ZK6xBEBRkmgBrHVNFGXs1eZGioOnUqVPo1KmT/DMREVFzZMs0+cTVc5VLcwBgVpRp4v3nvE1R0BQdHV3nz0RERM1Jia25pYKgye037LUVgZsBWBQuzwFcnvMih+89BwDHjx/HsmXLkJWVBUmS0LNnT0yfPh0xMTGunh8REZHLlBoqM02S8uU5t109p7QI3IY37fU6hf9SVT755BPExcUhIyMDN954I/r06YNDhw4hLi4O//nPf9wxRyIiIpdwJNPk9pomR4rAAWaafIDDmaa5c+di3rx5eOWVV+y2v/zyy3jmmWfw5z//2WWTIyIiciXfqmlS2NjSxpZpYp8mr3E405STk4O//OUvtbZPnDgROTk5LpkUERGROzhyGxW3txyQG1sq/FNsKwRnnyavcThoGjp0KHbt2lVr++7du/HHP/7RJZMiIiJyh1KDbXlOSU2TuwvBbTVNXJ5rLhQtz3355Zfyz+PGjcMzzzyDjIwMDBw4EACwb98+/Oc//8H8+fPdM0siIiIXKHFqeU7I91d1KaU367VhIbjXKQqaxo8fX2vbihUrsGLFCrtt06ZNw2OPPeaSiREREblaqVF5psm2PAdYAyeN2sVBk3yzXqXLc7ZME4Mmb1EUNFksbmwhT0RE5CElBsczTYB1iU6jdriipWGVQZOixpYAoPK3fmfQ5DUu/g0gIiLyXY4UgtcMmlzO6GBNk7oy08RCcK9xqrllSUkJdu7cibNnz8JotP/FmzFjhksmRkRE5EpCCLmmSVEhOCyQJEAIwOiOoMngYHNLFoJ7ncNB088//4w77rgDpaWlKCkpQUhICK5cuYI2bdogLCyMQRMREfmkcpMFtnvNK2s5APir/GCssMDkjgaXzhaCs0+T1zi8PPfUU08hOTkZeXl5CAwMxL59+3DmzBnEx8fjjTfecMcciYiImkzOMgGApCzw0KisfybdcisVQyEARzqCs0+TtzkcNGVmZmL27NlQqVRQqVQwGAzo3LkzFi1ahOeee84dcyQiImoyuUeTZIAkKcsc+ausAY1bapocXp6zZZpYCO4tDgdN/v7+cq+K8PBwnD17FgCg0+nkn4mIiHyNQz2aKvlXZprcU9NUefUcC8GbDYdrmvr27YuDBw+iR48eGDZsGF566SVcuXIFa9euRe/evd0xRyIioiZzpEeTjS1ocktNE/s0NTsOZ5oWLFiAyMhIAMD//d//oWPHjnj88ceRm5uLf/zjHy6fIBERkSs4dLPeSrbeTL7RcoDLc97mcKapX79+8s+dOnXCli1bXDohIiIidygxONCjqZJc0+TqQnCL2fGr51gI7nVO9WkCgNzcXBw/fhySJCEmJgadOnVy5byIiIhcqtShHk1WbqtpqgyYABaCNycOL88VFhYiNTUV11xzDYYMGYLbbrsNUVFRmDhxIvR6vTvmSERE1GQlcjdw5X2O3FbTVHnlHFQaCIuDheAMmrzG4aDp4Ycfxv79+7Fp0yYUFBRAr9dj06ZNOHjwIKZMmeKOORIRETVZqcHxTJPcp8nVmabKInBo2ip/jYpXz3mbw8tzmzdvxjfffINbb71V3paUlIT33nsPo0aNcunkiIiIXKXEkfvOVfJXu6lPky1o0rYDoDDzxRv2ep3DmaaOHTtCp9PV2q7T6RAcHOySSREREbmaLdMkOVPT5OpC8Mpu4NC2V/4a9mnyOoeDphdeeAGzZs1Cdna2vC0nJwdPP/00XnzxRZdOjoiIyFVsmSZIjje3dHlNk60QXOvI8hzvPedtipbn+vbtK3cBB4ATJ04gOjoaXbp0AQCcPXsWWq0Wly9fxqOPPuqemRIRETWBU32a3F3TpG2n/DVyITgzTd6iKGgaP368m6dBRETkXrY+TY61HPBETZNC7NPkdYqCppdfftnd8yAiInKrMpMP3XvO1nLAoavn2KfJ25xubpmRkYGsrCxIkoTY2Fj07dvXlfMiIiJyKac6gttuo1Lh6j5NtkJwZ5bnGDR5i8NBU25uLu677z7s2LEDHTp0gBACer0ew4YNw4YNG9gZnIiIfJIzHcHdX9PkwNVz8vIcgyZvcfjquenTp6OwsBC//vor8vLykJ+fjyNHjqCwsBAzZsxwxxyJiIiarEn3nnPXbVScunqONU3e4nCmKT09Hd9++y169eolb4uNjcU777yDxMREl06OiIjIVXzq3nNNunrOCAgBSApvv0Iu43CmyWKxwN/fv9Z2f39/WCwu/qUiIiJyEac6gvtSywFbpglgryYvcThouv322/Hkk0/i4sWL8rYLFy7gqaeewvDhw106OSIiIlcwVljkrt6OdATXuK0QvAmZJoBLdF7icNC0fPlyFBUVoWvXrrjuuutw/fXXo1u3bigqKsKyZcvcMUciIqImKbHdrBfwrT5NGiczTSwG9wqHa5o6d+6MQ4cOYdu2bTh27BiEEIiNjcWIESPcMT8iIqImK64MmgL9VZAk5Vkj2/KcwReW5/xUgKQChJmZJi9xKGiqqKhAQEAAMjMzMXLkSIwcOdJd8yIiInKZonJr0NQ2QI1yB15nC5oqfCFoAqxLdKZS9mryEoeW59RqNaKjo2E2m901HyIiIpcrqbxyrq3WsQUWW02TrR7KJSqMVZkiR1oOAOzV5GUO1zS98MILmDdvHvLy8twxHyIiIpcrLncyaJKvnnNhIbitRxPgWE0TwJv2epnDNU1/+9vf8PvvvyMqKgrR0dEICgqye/7QoUMumxwREZErFBmamGly5fKc7RYq/m0AlYN/hplp8iqHM0133nkn5syZg3nz5iElJQV33nmn3ZcjfvjhByQnJyMqKgqSJOHzzz+3e14IgbS0NERFRSEwMBBDhw7Fr7/+ajfGYDBg+vTpCA0NRVBQEMaNG4fz58/bjcnPz0dqaip0Oh10Oh1SU1NRUFBgN+bs2bNITk5GUFAQQkNDMWPGDBiN/KUkImoJbFfPBTkYNMnNLV25POfMzXpteNNer3I405SWluayg5eUlODGG2/EAw88gHvuuafW84sWLcJbb72FNWvWoEePHvjrX/+KkSNH4vjx42jXzprSnDlzJr766its2LABHTt2xOzZszF27FhkZGRApVIBAFJSUnD+/Hmkp6cDAB555BGkpqbiq6++AgCYzWaMGTMGnTp1wu7du3H16lVMmjQJQgi2USAiagFsy3PtAtRwpBLcLS0HnC0CB7g852WKg6bS0lI8/fTT+Pzzz2EymTBixAj87W9/Q2hoqNMHHz16NEaPHl3nc0IILF26FM8//zzuvvtuAMD777+P8PBwfPjhh3j00Ueh1+uxatUqrF27Vm55sG7dOnTu3BnffvstkpKSkJWVhfT0dOzbtw8DBgwAALz33ntISEjA8ePHERMTg61bt+Lo0aM4d+4coqKiAABvvvkmJk+ejFdffRXt2ztwQ0UiIvI5dstzDgRNcnNLXwmauDznVYqX515++WWsWbMGY8aMwX333Ydt27bh8ccfd9vETp06hZycHLv72Wm1WgwZMgR79uwBAGRkZMBkMtmNiYqKQlxcnDxm79690Ol0csAEAAMHDoROp7MbExcXJwdMAJCUlASDwYCMjAy3vUciIvIMZ5fnNG5ZnqusaWpK0MRMk1co/u359NNPsWrVKtx3330AgIkTJ2Lw4MEwm83yMpgr5eTkAADCw8PttoeHh+PMmTPyGI1Gg+Dg4FpjbK/PyclBWFhYrf2HhYXZjal5nODgYGg0GnlMXQwGAwyGql/cwsJCpW+PiIg8yG55zgH+7rh6zhY0Begcf61tea6CQZM3KM40nTt3Dn/84x/lx/3794darba7B507SDXu4iyEqLWtpppj6hrvzJiaFi5cKBeX63Q6dO7cucF5ERGRd9g6ggdpHPuffLdcPVeut353JmiSM028Ya83KA6azGYzNBqN3Ta1Wo2Kiop6XtE0ERERAFAr05ObmytnhSIiImA0GpGfn9/gmEuXLtXa/+XLl+3G1DxOfn4+TCZTrQxUdfPmzYNer5e/zp075+C7JCIiT7AFTW0D/B16nVuuniu3Lc85US/LQnCvUpynFEJg8uTJ0Gqr7rJcXl6Oxx57zK5X06effuqSiXXr1g0RERHYtm0b+vbtCwAwGo3YuXMnXn/9dQBAfHw8/P39sW3bNkyYMAEAkJ2djSNHjmDRokUAgISEBOj1ehw4cAD9+/cHAOzfvx96vR6DBg2Sx7z66qvIzs5GZGQkAGDr1q3QarWIj4+vd45ardbufBARkW8qdrJPk9YdheCuyDSxENwrFP/2TJo0qda2iRMnNungxcXF+P333+XHp06dQmZmJkJCQtClSxfMnDkTCxYsQPfu3dG9e3csWLAAbdq0QUpKCgBAp9PhoYcewuzZs9GxY0eEhIRgzpw56N27t3w1Xa9evTBq1ChMmTIF7777LgBry4GxY8ciJiYGAJCYmIjY2FikpqZi8eLFyMvLw5w5czBlyhReOUdE1AI42xHcHZkm/cYPoYsGLi1ZgbzHP3DsxSwE9yrFvz2rV692+cEPHjyIYcOGyY9nzZoFwBqgrVmzBnPnzkVZWRmmTp2K/Px8DBgwAFu3bpV7NAHAkiVLoFarMWHCBJSVlWH48OFYs2aNXXH6+vXrMWPGDPkqu3HjxmH58uXy8yqVCps3b8bUqVMxePBgBAYGIiUlBW+88YbL3zMREXle1fKco0GTta61wiJgsQj4+TVcU6uEyt8agJlNDveXBtRsbulNDje3dKWhQ4dCiPqvSJAkCWlpaQ021AwICMCyZcsabEIZEhKCdevWNTiXLl26YNOmTY3OmYiImp+q5TnnCsEBwGSxQOvX9KvF/SqDJovRiQBMZbt6jkGTNzgR5hIRETUfQohqQZNzheCA65boVBprssC5TBMLwb2JQRMREbVohgoLzBZroOLo8pymWtDkql5NcqbJ5EymqTLoY6bJKxg0ERFRi1ZUXtUap42/Y8trfn4S1H6uvf+cyr8y02R04k+wbXmONU1ewaCJiIhatOrtBpwp5HbpFXRmE/wqgyZLkwrBuTznDQyaiIioRStxskeTje0KOpd0BbfdrBeA2anlORaCexODJiIiatFsy3NBDl45Z6NRW1/nkkxTeQGAyoBJOBE0sRDcqxg0ERFRi+bsLVRsNCoX1jRVdgN3qggc4A17vYxBExERtWjFBuvNbR3t0WSjceWtVCrvO+dUEThQbXmOQZM3MGgiIqIWzbY8197JTJOtENzgkuU5W6bJyT+/tkJwBk1ewaCJiIhatMIya6apqUGTS/o0NXl5LsD6nTVNXsGgiYiIWrRCW6Yp0Lmr5+TlOVdkmgxcnmvOGDQREVGL1tRMk60ruEtaDlRmmpxqNwCwENzLGDQREVGLVlheGTQFOrk8p3bH1XPO1jSx5YA3MWgiIqIWrbCsictzLi0Ety3POZlpUtkKwdnc0hsYNBERUYsmZ5qaXAjuC5mmykLwivKmz4UcxqCJiIhaNLmmycnlOZcWgttqmpwtBJfvPcdMkzc4l6skIiJqBnq/3xvFBS8AaItJ30yAKuCSw/twbSF4AYAmtByQr55jpskbmGkiIqIWSwhAmAMBAJKqzKl9uLRPU1k+AMBsaOLynKUCsLggiCOHMGgiIqKWS/gDsN4+RVI5l52xLc+55Ia9tqCpqctzAK+g8wIGTURE1GLZskyAGZCcqwPyd9XynKkcMJVaZ+N00BRQ9TOX6DyOQRMREbVYwmINMiRVOSQny4jkPk1NzTRVZpmEpQk1TX5qAJWvZdsBj2PQRERELZe5MjPj51w9EwBoXdVywG5pzsmgSZLY4NKLGDQREVGLJSy2InDnl7JctjzX1HomG95KxWsYNBERUYslKjNNUhMyTVWF4E28ek4OmpzMMtnwpr1ew6CJiIharKp2A76QacoD0IR2AzZyV3AGTZ7GoImIiFosuRDcrwlBk6s6grtsec7WFZxBk6cxaCIiohZLbjngZGNLwF2F4E3A5TmvYdBEREQtV7WWA86ytRxwVSG4hYXgzRaDJiIiarHkmqYmFILLNU1NXZ4rdVVNE1sOeAuDJiIiarGEOQgAIKlKnd6HxueW5yprmtjc0uMYNBERUYslzG0ANC1oshWCN315rgCAC1oOyFfP8TYqnsagiYiIWixXBE1ypslVfZqauDxX+P1OAED2S88jq2evps2JHMKgiYiIWqyqPk1NCJpclmmqrGlq4vKcMFszVX5+TQziyGEMmoiIqEUqN5kBYa3/adLynCsKwU3lgMk6hyYHTZXTkFQMmjyNQRMREbVI+aW2Qmkz4Of8lWYuKQSvzDLBTw2LqWk1TbZMk8S/4B7HU05ERC1SfokJgDXLJDUhTtG4ok9TyRXr9zYdATQtaLJYKoMmZpo8jkETERG1SAWVmaamLM0BVctzTbqNSsll6/c2oU2aC1A908SgydPU3p4AERGRO+SXVmWamsJWCG4yNyFIKb1q/R4UCiDfoZfWvEIuNM763Y+ZJo9jpomIiFqkgjLXZpqMZguEcDJQsWWaglyYaVI1eVfkIAZNRETUIhW4KNNkC5qAJmSb5JomFwRNFi7PeQuDJiIiapHySyqvnmti0KRVV/2pdLoYXM40dWrSXIDqmSYGTZ7GoImIiFokV9U02WWanC0Gl2uaOjZpLgBgsfVpYqbJ4xg0ERFRi+SKq+d6v98bN63tA8AMALj1o6HO7ci2POfSTFOTd0UOYtBEREQtUkGZazJN1p1YgyYIJy86d0PLAd5GxfMYNBERUYtkq2lybdDkZHrHruVA0wg2t/QaBk1ERNQiXSm23jpFUhc3eV+SZM1aCeHv+IsrDICh0PqzS4Kmyjkx0+RxDJqIiKjFMVZYUFheAQDwc0HQBD/rvpxanrPVM/mpgYAOTZ6KhTVNXsOgiYiIWpyrJbYb9JoBv7Im70+SrEGTsDgTNNnqmTqiSTfBq8TbqHgPgyYiImpxrhZX1jOpi10RpwCVy3NOZZpKXXflHFBV08TbqHgegyYiImpxLtvqmVQlrtlh5fKcUzVNxbnW7y6oZwIAUVmTzkyT5zFoIiKiFqcq01Tkkv3ZlufgzPJcUbb1e7tIl8yl6uo5l+yOHODTQVNaWhokSbL7ioiIkJ8XQiAtLQ1RUVEIDAzE0KFD8euvv9rtw2AwYPr06QgNDUVQUBDGjRuH8+fP243Jz89HamoqdDoddDodUlNTUVBQ4Im3SEREblB15ZyLMk3y8pwTmaaiS9bv7SIaHqeQpaJyeU4tADDb5Ek+HTQBwA033IDs7Gz56/Dhw/JzixYtwltvvYXly5fjp59+QkREBEaOHImioqr/s5g5cyY+++wzbNiwAbt370ZxcTHGjh0Ls9ksj0lJSUFmZibS09ORnp6OzMxMpKamevR9EhGR61yVl+dclGmSl+ecyDQV51i/t3VN0GQrBAcAyef/ircsTrY29Ry1Wm2XXbIRQmDp0qV4/vnncffddwMA3n//fYSHh+PDDz/Eo48+Cr1ej1WrVmHt2rUYMWIEAGDdunXo3Lkzvv32WyQlJSErKwvp6enYt28fBgwYAAB47733kJCQgOPHjyMmJsZzb5aIiFziSuXynJ+rM00WZzJNlUFTu3CXTMVSPWhSM9PkST4fo544cQJRUVHo1q0b7rvvPpw8eRIAcOrUKeTk5CAxMVEeq9VqMWTIEOzZswcAkJGRAZPJZDcmKioKcXFx8pi9e/dCp9PJARMADBw4EDqdTh5TH4PBgMLCQrsvIiLyPnl5TuWCHk2o1nLAiUyTMesgAOD0o7OR1bNX0ycjJLnBJa+g8yyfDpoGDBiADz74AN988w3ee+895OTkYNCgQbh69SpycqyRe3i4feQeHh4uP5eTkwONRoPg4OAGx4SFhdU6dlhYmDymPgsXLpTroHQ6HTp37uz0eyUiIte5Uq3lgEv4OdlyQAioA6zlIBVlrqvcrmpwyaDJk3w6aBo9ejTuuece9O7dGyNGjMDmzZsBWJfhbKQaDTiEELW21VRzTF3jlexn3rx50Ov18te5c+cafU9EROR+V12caYLc3NLB5blyPfwq46yKctcFTaKCvZq8waeDppqCgoLQu3dvnDhxQq5zqpkNys3NlbNPERERMBqNyM/Pb3DMpUuXah3r8uXLtbJYNWm1WrRv397ui4iIvMtiEcgrcW2mSW454GimqbKeyWyU7Aq4m4qZJu9oVkGTwWBAVlYWIiMj0a1bN0RERGDbtm3y80ajETt37sSgQYMAAPHx8fD397cbk52djSNHjshjEhISoNfrceDAAXnM/v37odfr5TFERNR85JUaUWERkCQXthxw9t5zlVfOuXJpDqi6gs6PheAe5dNXz82ZMwfJycno0qULcnNz8de//hWFhYWYNGkSJEnCzJkzsWDBAnTv3h3du3fHggUL0KZNG6SkpAAAdDodHnroIcyePRsdO3ZESEgI5syZIy/3AUCvXr0watQoTJkyBe+++y4A4JFHHsHYsWN55RwRUTOUoy8HAHQM0sIgmRsZrYxUefWcw8tzlT2aKspcm6Ngpsk7fDpoOn/+PO6//35cuXIFnTp1wsCBA7Fv3z5ER0cDAObOnYuysjJMnToV+fn5GDBgALZu3Yp27drJ+1iyZAnUajUmTJiAsrIyDB8+HGvWrIFKVRX1r1+/HjNmzJCvshs3bhyWL1/u2TdLREQucanQGjSFt9firKt26uy95yq7gbuyngmolmli0ORRPh00bdiwocHnJUlCWloa0tLS6h0TEBCAZcuWYdmyZfWOCQkJwbp165ydJhER+ZCcyqApon2A64ImZ+89V3gRAGAqdW3QZOsKzj5NntWsapqIiIgac6lyeS5cF+CyfUrOZpr01tt2uTpoYqbJOxg0ERFRi3Kp0NpuIKK964ImyDfsdTDTpLe2oqkocXGmiTVNXuHTy3NERESOqr485yqO3Huuetfv7nflQK1lpqmlYKaJiIhaFLkQ3IXLc3CiT5OkskCttd7vxPU1TdbvbDngWQyaiIioRXFLpsmJlgP+QdZ2B2ajBIvJtX9uBZfnvIJBExERtRjlJjMKSq0Bjktrmpxobunfxho0uTrLBFTVNHF5zrMYNBERUYthW5oL8PdD+0AXlu3aMk3OBE0uLgIHqu49x0yTZzFoIiKiFuNCfhkAIEoX2OhN1x0hOXH1nG15rsKNmSYGTZ7FoImIiFqM85VB07UhbVy7Y7+qPk1CKAtU1G5cnuO957yDQRMREbUY5/JLAQCdgwNdul850wQ/mMzKAhVNkPuW55hp8g4GTURE1GLImaZgF2ea5KAJMFQouwmwpp31NcYi17dEZJ8m72DQRERELca5vMpMU4hrM03Vg6Zyk6Xx4WoL1IHWccZi1wdNtnvP+bk+iUUNYNBEREQthrsyTZIEQDICAMqMjWeaNG0ri8ANfi7v0QSwT5O3MGgiIqIWwVBhxqUia8sBV9c0AYDkZw2aSk0VjYwENG2tY0xF7kkFWVgI7hUMmoiIqEW4WFAOIYBAfxVCgjSuP4Cf9UbApYoyTZX1TG5YmgOqluckBk0exaCJiIhahOr1TK7s0WQjVbYdKDU0HjT5t7OOMRa7KdNkq2lSN15fRa7jnhCYiIjIg3q/3xvGvIEAxuNkyQH0fv8J1x+ksqap1Kh8ec4dV84BgKXCmvPwUwEwmwCV8qab5DxmmoiIqEWwGMMAAH7aXLfs31bTVGZqPNOkbe/moMlULZNmKHLLMag2Bk1ERNQiWIyhAAA/zRX3HMBWCN5ITZNKU63dQKGbFnSEBIttGsZi9xyDamHQRERELYLFYM00SZrLbtm/LdNUYmh4eU6js9Y+GUtU8jKaO8itDIwlbjsG2WPQREREzZ6w+ENUdAAAqNwcNDXWp0mrswZVhgL3lg3bisFhYKbJUxg0ERFRs2dbmpNUJZDUpe45iK0QvJGaJm17a6bJUOje4mw5aDKypslTGDQREVGzZzF0AgD4uSnLBDiQaepQWQSud3OmycRMk6cxaCIiombPYogA4L4r56w7V9ByQAj5yjmDu4OmCtY0eRqDJiIiavbMhkgAgJ/2otuOIReCN5RpKrwAdYAFwuKB5TlbpolXz3kMgyYiImr2LOVRAAC/gGz3HUTJ8tzFnwFYs0y2m+q6S1UhOGuaPIVBExERNWv5JUaICh0AQKV1X9AkKekIXhk0leW54d53NVQtzzHT5CkMmoiIqFnLyi4EAEj+VyCpjG47ju3ec0oyTeV57r+tSdXyHGuaPIVBExERNWu/XrQGTSp3Ls0BgJ8BAFBcX3NLITwbNLFPk8cxaCIiomYt81wBAMAv4IJbjyOpygEAReX1BE15J4GyfFjMQLneE0GTbXmONU2ewqCJiIiaLSEEDp7JAwCo2pxx67EkvzIAQGG5qe4BZ34EAJRf1QAW9xaBA4DZtjxXrnf7sciKQRMRETVbF/XluFRoAGCGKuC8W49lyzSVmywwVNRR13TaGjSVXnZ/ETgAWAyVf8LLCjxyPALc23mLiIjIjTLO5AMA/AIuyoXabuNXLv9YVF4BbVtV1XNCyJmmklyte+dRyWy0Bk3GE4fxv5695O29jmV55PitETNNRETUbGWcrlyaCzzr9mNJkpADp8KyGgFawRlAfw7wU6PsivvrmYCqoEmlsXjkeMSgiYiImrFdJ64AAFRB//PI8arqmmoUg//+nfX7Nf0gzJ7502o2WmuaVBoBSMIjx2ztGDQREVGzdC6vFCevlEDlJ0HdxkNBk6qeTNNv6dbvPZI8Mg+gKtMEACp/Zps8gUETERE1S7Ys081dOkBSGTxyTElVxxV0xhLg5E7rzzGjPTIPAICQqrJNWmaaPIFBExERNUvbj+cCAP7YvZPHjinJNU3VludO7gDMBqBDF6BTT4/NBajKNvmxrskjGDQREVGzU1Ruws7fLgMAEm8I99yB68o0Hf6P9XvPZEByf3+m6lgM7lkMmoiIqNn5NusSjBUWXNcpCDHh7Tx2XFsheEFpZdBUVgAc22L9+cZ7PTYPm6rlOQZNnsCgiYiImp2v/mu9z9yYPlGQPJjdkdTW+7xdKa6soTr6uXVpLiwWiOjjsXnYmMutvaLUDJo8gkETERE1K+fzS7Gjsp5p3I1RHj22n9p6n7fLRQZrQ8v9/7A+cVOKx5fmAKCizPpnXB1YR4dycjkGTURE1Kx8dOAsLAIYdF1HXB/W1qPHlqoHTSe3A7m/Av5BQN9Uj87DxlRmzTT5t2HQ5Am8jQoRETUbReUmrN9v7f49cWC0x49vW567XFQO/LDUuvHmVCCwg8fnAgAVlUGTOpDLc57ATBMRETUba348jYJSE/4QGoTEWA9eNVdJUlkzTXGle4Ezu2GQgJEXv/T4PGy4POdZDJqIiKhZyC0qxz92nQQAPDmiO9Qqz/8Jk9Ql0KIcL6g/BACsb98OOWrvLdpUZZrMANjg0t0YNBERUbMw/6ujKCqvQO9rdBjbx7MF4DaSZMHTmvW4zi8buX4a/FOn88o8bExlKggL4KcC1AFconM31jQREZHP+/dP57D5l2yo/CT8T/N/uGntRa/MI6m4BA/7WW/O+0Kbm1Gk8s48ZBYJxmIVtO3N0OgqUFHZgoDcg5kmIiLyaXv/dxUvfHEEAPDk8O5QBXgnUBlQVo6/XskDAPyzYjQ6/tgL/15Y0cir3M9Y6A8A0Lb3/lxaOgZNRETks7Yfz8WDa36CscKCxNhwPDHseq/M447iEqzIyUWAEPhefQ0WVPw/nG3r+UL0uhgKrYtG2vamRkZSUzFoqmHFihXo1q0bAgICEB8fj127dnl7SkRErU6Z0YxF6cfw4JqfUGYyY0iPTvjb/X3h5+fZBpKhFWa8evkKXr98FRoA37YJxMzg62CBH46FdPGJ0uvyfGumKbCT0cszaflY01TNxx9/jJkzZ2LFihUYPHgw3n33XYwePRpHjx5Fly5dvD09IqIWT19mwicZ57Fq10lc1JcDAP7fgC54KTkWWrXn6nX+YDThz0VFuLuoBG2EgAXAux3a490OOljEBfhZzLga2AGX2oTg3wvzkLWwl8fmVlNprgYAENChAiotWw+4E4Omat566y089NBDePjhhwEAS5cuxTfffIOVK1di4cKFXp4dEVHLU1BqxNGLhThyUY9dJ65g38mrMJmt+ZtrOgTixbG9MCou0q1z8BcC3Ywm9DCZ0NtgwKDScnStqKoP+q9Wg8UhwfhvgBYAIEkm3JB3GodDr8P2a/vi/t++c+v8GmM2qFB21R+BHU3ocF2pV+fS0jFoqmQ0GpGRkYFnn33WbntiYiL27Nnj0L4yt61H26BAZYOF8uSuqPWDotGKXlTXNKR6XlP/nup5psFDO5HcduCc1XyN0ldKEI4fxsEXODYjUeePCkbX++/Y8P4aeo0Dv7ONDK05t8b3LBp82NBrhAPzloQTv5kO/fsLOPe77/hLGptXXefF0f/2pXqesAgBk9kCo1nAVGGB0WyBscKCo1d+B8wBEJYAQPjL4/9Q+RXWQYv+3UJwU+cO8C85Aey3fy8p+qIG31N1aggEWgQChECgsCDAIhAoBHQWCzpVmBFqNiPEUvtS/QoAO9sE4j/t2uLHwIBa95UbdXo/Dodeh497DIdKWBBWmg+VsN9PzfMoOfPZpdClyxcxtOMRhNxQghP/fhGlbTvD4qdR9mIv3DPP1xSXlCkax6Cp0pUrV2A2mxEebl/YFx4ejpycnDpfYzAYYDAY5Md6vR4A8Icf56K9lr+ERER1GdXYAD2ATKAsE6jrT9k0F8+nEEChJOF//v44ofXHQW0AMgK1KPGrLPstrx1UxZ85iLiIOPzS6Xqsun6Yi2fkOD9YsKz0bxiiOozwn9/29nSanUJD5f9cNRLYMmiqQaoRcQsham2zWbhwIebPn19re+clxW6ZGxER+YYEAPj9OW9Pw844b0+gBSgqKoKugYalDJoqhYaGQqVS1coq5ebm1so+2cybNw+zZs2SHxcUFCA6Ohpnz55t8KS3dIWFhejcuTPOnTuH9u3be3s6XsPzYMXzYMXzYMXzYMXzUMUXzoUQAkVFRYiKarjTPIOmShqNBvHx8di2bRvuuusuefu2bdtw55131vkarVYLrVZba7tOp2v1/xEAQPv27XkewPNgw/NgxfNgxfNgxfNQxdvnQkmyg0FTNbNmzUJqair69euHhIQE/OMf/8DZs2fx2GOPeXtqRERE5GUMmqq59957cfXqVbzyyivIzs5GXFwctmzZgujoaG9PjYiIiLyMQVMNU6dOxdSpU516rVarxcsvv1znkl1rwvNgxfNgxfNgxfNgxfNgxfNQpTmdC0k0dn0dEREREfHec0RERERKMGgiIiIiUoBBExEREZECDJqIiIiIFGi1QdOKFSvQrVs3BAQEID4+Hrt27Wpw/M6dOxEfH4+AgAD84Q9/wN///vdaYzZu3IjY2FhotVrExsbis88+c/i4QgikpaUhKioKgYGBGDp0KH799demvdkG+OJ5MJlMeOaZZ9C7d28EBQUhKioKf/nLX3Dx4sWmv+F6+OJ5qOnRRx+FJElYunSpw+/PEb58LrKysjBu3DjodDq0a9cOAwcOxNmzZ51/sw3w1fNQXFyMJ554Atdeey0CAwPRq1cvrFy5smlvtgHeOA8//PADkpOTERUVBUmS8Pnnn9faR2v4rGzsPLSWz0olvw/VufWzUrRCGzZsEP7+/uK9994TR48eFU8++aQICgoSZ86cqXP8yZMnRZs2bcSTTz4pjh49Kt577z3h7+8vPvnkE3nMnj17hEqlEgsWLBBZWVliwYIFQq1Wi3379jl03Ndee020a9dObNy4URw+fFjce++9IjIyUhQWFraa81BQUCBGjBghPv74Y3Hs2DGxd+9eMWDAABEfH+/yc+DL56G6zz77TNx4440iKipKLFmyxOXnwJk5CeHZc/H777+LkJAQ8fTTT4tDhw6J//3vf2LTpk3i0qVLreo8PPzww+K6664T27dvF6dOnRLvvvuuUKlU4vPPP28x52HLli3i+eefFxs3bhQAxGeffVbrWK3hs7Kx89BaPiuV/D7YuPuzslUGTf379xePPfaY3baePXuKZ599ts7xc+fOFT179rTb9uijj4qBAwfKjydMmCBGjRplNyYpKUncd999io9rsVhERESEeO211+Tny8vLhU6nE3//+98deIfK+Op5qMuBAwcEgHr/42wKXz8P58+fF9dcc404cuSIiI6OdmvQ5Mvn4t577xUTJ0507A05yZfPww033CBeeeUVuzE333yzeOGFFxS8M8d46zxUV9cfydbyWVldY8GCTUv8rKyuofPgic/KVrc8ZzQakZGRgcTERLvtiYmJ2LNnT52v2bt3b63xSUlJOHjwIEwmU4NjbPtUctxTp04hJyfHboxWq8WQIUPqnZuzfPk81EWv10OSJHTo0EHR+1PK18+DxWJBamoqnn76adxwww3OvUmFfPlcWCwWbN68GT169EBSUhLCwsIwYMCARtP0zvDl8wAAt956K7788ktcuHABQghs374dv/32G5KSkpx7w/Xw1nlQojV8VjqrpX1WKuWpz8pWFzRduXIFZrMZ4eHhdtvDw8ORk5NT52tycnLqHF9RUYErV640OMa2TyXHtX13ZG7O8uXzUFN5eTmeffZZpKSkuPxmjr5+Hl5//XWo1WrMmDHDuTfoAF8+F7m5uSguLsZrr72GUaNGYevWrbjrrrtw9913Y+fOnc6/6Tr48nkAgL/97W+IjY3FtddeC41Gg1GjRmHFihW49dZbnXvD9fDWeVCiNXxWOqMlflYq5anPylZ7GxVJkuweCyFqbWtsfM3tSvbpqjGu4svnAbAWOt53332wWCxYsWJFA++kaXzxPGRkZODtt9/GoUOH3PbvXxdfPBcWiwUAcOedd+Kpp54CANx0003Ys2cP/v73v2PIkCGNvi9H+eJ5AKxB0759+/Dll18iOjoaP/zwA6ZOnYrIyEiMGDFCwTtzjLfOgzvm1hS+fB6Alv9Z2RBPfla2ukxTaGgoVCpVrSg2Nze3VrRrExERUed4tVqNjh07NjjGtk8lx42IiAAAh+bmLF8+DzYmkwkTJkzAqVOnsG3bNpf/n5Oj87Hx1HnYtWsXcnNz0aVLF6jVaqjVapw5cwazZ89G165dnX7P9fHlcxEaGgq1Wo3Y2Fi7Mb169XL51XO+fB7Kysrw3HPP4a233kJycjL69OmDJ554Avfeey/eeOMN5990Hbx1HpRoDZ+VjmjJn5VKePKzstUFTRqNBvHx8di2bZvd9m3btmHQoEF1viYhIaHW+K1bt6Jfv37w9/dvcIxtn0qO261bN0RERNiNMRqN2LlzZ71zc5Yvnweg6kPgxIkT+Pbbb+X/wFzNl89DamoqfvnlF2RmZspfUVFRePrpp/HNN984/6br4cvnQqPR4JZbbsHx48ftxvz222+Ijo528J02zJfPg8lkgslkgp+f/Ue3SqWSs3Gu4q3zoERr+KxUqqV/Virh0c9Kl5eWNwO2yyZXrVoljh49KmbOnCmCgoLE6dOnhRBCPPvssyI1NVUeb7ts8qmnnhJHjx4Vq1atqnXZ5I8//ihUKpV47bXXRFZWlnjttdfqvZy4vuMKYb2MVqfTiU8//VQcPnxY3H///W6/jNbXzoPJZBLjxo0T1157rcjMzBTZ2dnyl8FgaDXnoS7uvnrOl8/Fp59+Kvz9/cU//vEPceLECbFs2TKhUqnErl27WtV5GDJkiLjhhhvE9u3bxcmTJ8Xq1atFQECAWLFiRYs5D0VFReLnn38WP//8swAg3nrrLfHzzz/Xas/S0j8rGzsPreWzUsnvQ03u+qxslUGTEEK88847Ijo6Wmg0GnHzzTeLnTt3ys9NmjRJDBkyxG78jh07RN++fYVGoxFdu3YVK1eurLXP//znPyImJkb4+/uLnj17io0bNzp0XCGsl9K+/PLLIiIiQmi1WnHbbbeJw4cPu+ZN18EXz8OpU6cEgDq/tm/f7rL3rnQ+3vx9qMndQVNjc/L2uVi1apW4/vrrRUBAgLjxxhvd0ptIyXy8eR6ys7PF5MmTRVRUlAgICBAxMTHizTffFBaLxTVv3IH5uOs8bN++vc7//idNmiSPaQ2flY2dh9byWank96Emd31WSkJUVmURERERUb1aXU0TERERkTMYNBEREREpwKCJiIiISAEGTUREREQKMGgiIiIiUoBBExEREZECDJqIiIiIFGDQRERERKQAgyYiIi9ZtWoVEhMTHXpNbm4uOnXqhAsXLrhpVkRUHwZNROSTcnJyMH36dPzhD3+AVqtF586dkZycjO+++87bU2uQJEn4/PPPGx1nMBjw0ksv4cUXX6z13Pnz56HRaNCzZ89az4WFhSE1NRUvv/yyK6ZLRA5g0EREPuf06dOIj4/H999/j0WLFuHw4cNIT0/HsGHDMG3aNKf3K4RARUVFre1Go7Ep03XKxo0b0bZtW/zxj3+s9dyaNWswYcIElJaW4scff6z1/AMPPID169cjPz/fE1MlokoMmojI50ydOhWSJOHAgQP405/+hB49euCGG27ArFmzsG/fPgDWwEqSJGRmZsqvKygogCRJ2LFjBwBgx44dkCQJ33zzDfr16wetVotdu3Zh6NCheOKJJzBr1iyEhoZi5MiRAICjR4/ijjvuQNu2bREeHo7U1FRcuXJF3v/QoUMxY8YMzJ07FyEhIYiIiEBaWpr8fNeuXQEAd911FyRJkh/XZcOGDRg3blyt7UIIrF69GqmpqUhJScGqVatqjenduzciIiLw2WefKTyjROQKDJqIyKfk5eUhPT0d06ZNQ1BQUK3nO3To4PA+586di4ULFyIrKwt9+vQBALz//vtQq9X48ccf8e677yI7OxtDhgzBTTfdhIMHDyI9PR2XLl3ChAkT7Pb1/vvvIygoCPv378eiRYvwyiuvYNu2bQCAn376CQCwevVqZGdny4/rsmvXLvTr16/W9u3bt6O0tBQjRoxAamoq/v3vf6OoqKjWuP79+2PXrl0Onwsicp7a2xMgIqru999/hxCiznoeZ73yyityNsnm+uuvx6JFi+THL730Em6++WYsWLBA3vavf/0LnTt3xm+//YYePXoAAPr06SPXE3Xv3h3Lly/Hd999h5EjR6JTp04ArIFdREREvfMpKChAQUEBoqKiaj23atUq3HfffVCpVLjhhhtw/fXX4+OPP8bDDz9sN+6aa67Bzz//7OCZIKKmYKaJiHyKEAKAtaDaVerK6NTclpGRge3bt6Nt27byly1w+9///iePs2WqbCIjI5Gbm+vQfMrKygAAAQEBdtsLCgrw6aefYuLEifK2iRMn4l//+letfQQGBqK0tNSh4xJR0zDTREQ+pXv37pAkCVlZWRg/fny94/z8rP/PZwuyAMBkMtU5tq5lvprbLBYLkpOT8frrr9caGxkZKf/s7+9v95wkSbBYLPXOsy4dO3aEJEm1Crk//PBDlJeXY8CAAfI2IQQsFguOHj2K2NhYeXteXp6c2SIiz2CmiYh8SkhICJKSkvDOO++gpKSk1vMFBQUAIAcM2dnZ8nPVi8IddfPNN+PXX39F165dcf3119t91RV01cff3x9ms7nBMRqNBrGxsTh69Kjd9lWrVmH27NnIzMyUv/773/9i2LBhtbJNR44cQd++fZW/QSJqMgZNRORzVqxYAbPZjP79+2Pjxo04ceIEsrKy8Le//Q0JCQkArMtTAwcOxGuvvYajR4/ihx9+wAsvvOD0MadNm4a8vDzcf//9OHDgAE6ePImtW7fiwQcfbDQIqq5r16747rvvkJOT02BLgKSkJOzevVt+nJmZiUOHDuHhhx9GXFyc3df999+PDz74QM6klZaWIiMjw+HGmETUNAyaiMjndOvWDYcOHcKwYcMwe/ZsxMXFYeTIkfjuu++wcuVKedy//vUvmEwm9OvXD08++ST++te/On3MqKgo/PjjjzCbzUhKSkJcXByefPJJ6HQ6eSlQiTfffBPbtm1D586dG8wETZkyBVu2bIFerwdgzTLFxsbWWQA/fvx45OXl4auvvgIAfPHFF+jSpUudPZ6IyH0kUb0ggIiIPGbChAno27cv5s2b59Dr+vfvj5kzZyIlJcVNMyOiujDTRETkJYsXL0bbtm0dek1ubi7+9Kc/4f7773fTrIioPsw0ERERESnATBMRERGRAgyaiIiIiBRg0ERERESkAIMmIiIiIgUYNBEREREpwKCJiIiISAEGTUREREQKMGgiIiIiUoBBExEREZEC/x9e+ZapCQqt6wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# FigS24A 32K positive\n",
    "B00_full = spio.loadmat('data/B0032Icpos.mat',squeeze_me=True)\n",
    "B00_half = spio.loadmat('data/B0032Icposh.mat',squeeze_me=True)\n",
    "Full10K = B00_full['Ic5Kpos'] \n",
    "Half10K = B00_half['Ic5Kposh']\n",
    "\n",
    "idatapf = az.from_netcdf(\"data/B0032FullPos.nc\")\n",
    "idataph = az.from_netcdf(\"data/B0032HalfPos.nc\")\n",
    "\n",
    "# plot the pdf of the histogram and fit\n",
    "I = np.linspace(0, 1.5, 10000)*(10**(-3))\n",
    "q_ph = idataph.posterior.quantile([0.50])\n",
    "critical_current_ph = q_ph['critical_current'].sel(quantile=0.5).to_numpy()\n",
    "U_0_ph = q_ph['U_0'].sel(quantile=0.5).to_numpy()\n",
    "\n",
    "q_pf = idatapf.posterior.quantile([0.50])\n",
    "critical_current_pf = q_pf['critical_current'].sel(quantile=0.5).to_numpy()\n",
    "U_0_pf = q_pf['U_0'].sel(quantile=0.5).to_numpy()\n",
    "\n",
    "f_j0 = 1.4*10**12\n",
    "ramp_speed = 6/(10**3)\n",
    "Temp = 32 #Change the Temperature for different fits\n",
    "\n",
    "# Create an object to plot the pdf of the model\n",
    "failure_distph = simulating_data.FailureDist_new(name=\"failures\", ramp_speed = ramp_speed, critical_current=critical_current_ph,\n",
    "                                   f_j0=f_j0, Temp=Temp,U_0=U_0_ph)\n",
    "\n",
    "failure_distpf = simulating_data.FailureDist_new(name=\"failures\", ramp_speed = ramp_speed, critical_current=critical_current_pf,\n",
    "                                   f_j0=f_j0, Temp=Temp,U_0=U_0_pf)\n",
    "\n",
    "fig,ax2 = plt.subplots()\n",
    "ax2.plot(I, failure_distph.pdf(I));\n",
    "ax2.plot(I, failure_distpf.pdf(I));\n",
    "plt.xlim([0/(10**3),1.5/(10**3)])\n",
    "ax2.hist(Half10K/(10**3),density=True);\n",
    "ax2.hist(Full10K/(10**3),density=True)\n",
    "plt.xlabel('Current (A)');\n",
    "plt.ylabel('Probability Density');\n",
    "plt.title('pdf of data vs fit');\n",
    "plt.ylim([0, 30000]);\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "a7839d25-d711-4c6e-a857-70d684af22f6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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RHBwsNmzYILdZsmSJ0Ov14uOPPxaHDx8WEyZMEO3btxclJSVym0cffVR06NBBfPPNN+LgwYPi97//vejdu7eorq6W24wYMUL06tVLZGZmiszMTJGQkCBGjRol76+urhbx8fFiyJAh4uDBg+Kbb74RHTp0EI8//rji92MwGAQAXm1HRET0G6L0+9uvoUkIIT7//HMRHx8vdDqd6NGjh3j77bcd9lssFjF//nwRHR0tdDqduPXWW8Xhw4cd2lRUVIjHH39chIWFiaCgIDFq1Chx+vRphzaXLl0S9957r2jdurVo3bq1uPfee0VRUZFDm1OnTomRI0eKoKAgERYWJh5//HFRWVmp+L0wNBEREf32KP3+5m1UGlBJSQn0ej0MBgPnNBEREf1GKP3+9vttVIiIiIh+CxiaiIiIiBRgaCIiIiJSgKGJiIiISAGGJiIiIiIFGJqIiIiIFGBoIiIiIlKAoYmIiIhIAYYmIiIiIgUYmoiIiIgUYGgiIiIiUoChiYiIiEgBhiYiIiIiBRiaiIiIiBRgaCIiIiJSgKGJiIiISAGGJiIiIiIFGJqIiIiIFGBoIiIiIlKAoYmIiIhIAYYmIiIiIgUYmoiIiIgUYGgiIiIiUoChiYiIiEgBhiYiIiIiBRiaiIiIiBRgaCIiIiJSgKGJiIiISAGGJiIiIiIFGJqIiIiIFGBoIiIiIlKAoYmIiIhIAYYmIiIiIgUYmoiIiIgUYGgiIiIiUoChiYiIiEgBhiYiIiIiBRiaiIiIiBRgaCIiIiJSgKGJiIiISAGGJiIiIiIFGJqIiIiIFGBoIiIiIlKAoYmIiJqk3B49kdujp7+7QSRjaCIiIiJSgKGJiIiISAGGJiIiIiIFGJqIiIiIFGBoIiIiIlKAoYmIiIhIAb+GpgULFkCSJIef6Ohoeb8QAgsWLEBMTAyCgoIwePBgHD161OEYRqMR06dPR0REBEJCQjBmzBicPXvWoU1RURHS0tKg1+uh1+uRlpaG4uJihzanT5/G6NGjERISgoiICMyYMQNVVVWN9t6JiIjot8Xvlabrr78eeXl58s/hw4flfUuXLsXy5cuxatUqHDhwANHR0Rg2bBhKS0vlNjNnzsTmzZuRnp6O3bt34/Llyxg1ahTMZrPcJjU1FdnZ2cjIyEBGRgays7ORlpYm7zebzRg5ciTKysqwe/dupKenY9OmTZg9e7ZvTgIRERE1fcKP5s+fL3r37u12n8ViEdHR0WLJkiXytsrKSqHX68Wbb74phBCiuLhYaDQakZ6eLrc5d+6cCAgIEBkZGUIIIXJycgQAsXfvXrlNZmamACCOHTsmhBDiyy+/FAEBAeLcuXNymw8//FDodDphMBgUvx+DwSAAePUcIiJyL6d7D5HTvYe/u0EtgNLvb79Xmn766SfExMSgS5cuGD9+PH7++WcAwMmTJ5Gfn4/hw4fLbXU6HZKTk7Fnzx4AQFZWFkwmk0ObmJgYxMfHy20yMzOh1+vRv39/uc2AAQOg1+sd2sTHxyMmJkZuk5KSAqPRiKysrMZ780RERPSbofbni/fv3x/vvfceunXrhvPnz+PFF1/EwIEDcfToUeTn5wMAoqKiHJ4TFRWFU6dOAQDy8/Oh1WoRGhrq0sb+/Pz8fERGRrq8dmRkpEMb59cJDQ2FVquV27hjNBphNBrlxyUlJUrfOhEREf3G+DU03X777fLvCQkJSEpKwrXXXov169djwIABAABJkhyeI4Rw2ebMuY279vVp42zx4sVYuHBhnX0hIiKi5sHvw3O1hYSEICEhAT/99JN8FZ1zpaegoECuCkVHR6OqqgpFRUV1tjl//rzLa124cMGhjfPrFBUVwWQyuVSgaps3bx4MBoP8c+bMGS/fMREREf1WNKnQZDQakZubi/bt26NLly6Ijo7Gtm3b5P1VVVXYuXMnBg4cCABITEyERqNxaJOXl4cjR47IbZKSkmAwGLB//365zb59+2AwGBzaHDlyBHl5eXKbrVu3QqfTITEx0WN/dTod2rRp4/BDREREzZNfh+fmzJmD0aNHo1OnTigoKMCLL76IkpISTJo0CZIkYebMmVi0aBG6du2Krl27YtGiRQgODkZqaioAQK/X48EHH8Ts2bMRHh6OsLAwzJkzBwkJCRg6dCgAoGfPnhgxYgSmTJmCt956CwDw8MMPY9SoUejevTsAYPjw4YiLi0NaWhqWLVuGwsJCzJkzB1OmTGEQIiIiIgB+Dk1nz57FhAkTcPHiRbRr1w4DBgzA3r17ERsbCwCYO3cuKioqMHXqVBQVFaF///7YunUrWrduLR9jxYoVUKvVGDduHCoqKjBkyBCsW7cOKpVKbrNx40bMmDFDvspuzJgxWLVqlbxfpVJhy5YtmDp1KgYNGoSgoCCkpqbi5Zdf9tGZICIioqZOEkIIf3eiuSgpKYFer4fBYGCFiojoKuX26AkA6Hks1889oeZO6fd3k5rTRERERNRUMTQRERERKcDQRERERKQAQxMRERGRAgxNRERERAowNBEREREpwNBEREREpABDExERNWm5PXrKazYR+RNDExEREZECDE1ERERECjA0ERERESnA0ERERESkAEMTERERkQIMTUREREQKMDQRERERKcDQRERERKQAQxMRETUJCesTkLA+wd/dIPKIoYmIiIhIAYYmIiIiIgUYmoiIiIgUYGgiIiIiUoChiYiIiEgBhiYiIiIiBRiaiIiIiBRgaCIiIiJSgKGJiIiISAGGJiIiIiIFGJqIiIiIFGBoIiIiIlKAoYmIiIhIAYYmIiIiIgXU/u4AERG1XAnrE/zdBSLFWGkiIiIiUoChiYiIiEgBhiYiIiIiBRiaiIiIiBRgaCIiIiJSgKGJiIiISAGGJiIiIiIFGJqIiIiIFGBoIiIiIlKAoYmIiIhIAYYmIiIiIgUYmoiIiIgUYGgiIiIiUoChiYiIiEgBhiYiIiIiBRiaiIiIiBRgaCIiIiJSgKGJiIiISAGGJiIiIiIFmkxoWrx4MSRJwsyZM+VtQggsWLAAMTExCAoKwuDBg3H06FGH5xmNRkyfPh0REREICQnBmDFjcPbsWYc2RUVFSEtLg16vh16vR1paGoqLix3anD59GqNHj0ZISAgiIiIwY8YMVFVVNdbbJSIiot+YJhGaDhw4gLfffhu9evVy2L506VIsX74cq1atwoEDBxAdHY1hw4ahtLRUbjNz5kxs3rwZ6enp2L17Ny5fvoxRo0bBbDbLbVJTU5GdnY2MjAxkZGQgOzsbaWlp8n6z2YyRI0eirKwMu3fvRnp6OjZt2oTZs2c3/psnIiKi3wSvQ9OCBQtw6tSpBuvA5cuXce+99+Kdd95BaGiovF0IgZUrV+LZZ5/F3Xffjfj4eKxfvx7l5eX44IMPAAAGgwFr167FK6+8gqFDh6JPnz7YsGEDDh8+jG+++QYAkJubi4yMDPz9739HUlISkpKS8M477+CLL77A8ePHAQBbt25FTk4ONmzYgD59+mDo0KF45ZVX8M4776CkpKTB3isRERH9dnkdmj7//HNce+21GDJkCD744ANUVlZeVQemTZuGkSNHYujQoQ7bT548ifz8fAwfPlzeptPpkJycjD179gAAsrKyYDKZHNrExMQgPj5ebpOZmQm9Xo/+/fvLbQYMGAC9Xu/QJj4+HjExMXKblJQUGI1GZGVleey70WhESUmJww8RERE1T16HpqysLBw8eBC9evXCk08+ifbt2+Oxxx7DgQMHvH7x9PR0HDx4EIsXL3bZl5+fDwCIiopy2B4VFSXvy8/Ph1ardahQuWsTGRnpcvzIyEiHNs6vExoaCq1WK7dxZ/HixfI8Kb1ej44dO17pLRMREdFvVL3mNPXq1QsrVqzAuXPn8I9//APnzp3DoEGDkJCQgFdffRUGg+GKxzhz5gyeeOIJbNiwAYGBgR7bSZLk8FgI4bLNmXMbd+3r08bZvHnzYDAY5J8zZ87U2S8iIiL67bqqieAWiwVVVVUwGo0QQiAsLAxr1qxBx44d8dFHH9X53KysLBQUFCAxMRFqtRpqtRo7d+7Ea6+9BrVaLVd+nCs9BQUF8r7o6GhUVVWhqKiozjbnz593ef0LFy44tHF+naKiIphMJpcKVG06nQ5t2rRx+CEiIqLmqV6hKSsrC48//jjat2+PJ598En369EFubi527tyJY8eOYf78+ZgxY0adxxgyZAgOHz6M7Oxs+adv37649957kZ2djd/97neIjo7Gtm3b5OdUVVVh586dGDhwIAAgMTERGo3GoU1eXh6OHDkit0lKSoLBYMD+/fvlNvv27YPBYHBoc+TIEeTl5clttm7dCp1Oh8TExPqcIiIiImpm1N4+oVevXsjNzcXw4cOxdu1ajB49GiqVyqHNfffdh6eeeqrO47Ru3Rrx8fEO20JCQhAeHi5vnzlzJhYtWoSuXbuia9euWLRoEYKDg5GamgoA0Ov1ePDBBzF79myEh4cjLCwMc+bMQUJCgjyxvGfPnhgxYgSmTJmCt956CwDw8MMPY9SoUejevTsAYPjw4YiLi0NaWhqWLVuGwsJCzJkzB1OmTGH1iIiIiADUIzT96U9/wgMPPIBrrrnGY5t27drBYrFcVccAYO7cuaioqMDUqVNRVFSE/v37Y+vWrWjdurXcZsWKFVCr1Rg3bhwqKiowZMgQrFu3ziHIbdy4ETNmzJCvshszZgxWrVol71epVNiyZQumTp2KQYMGISgoCKmpqXj55Zev+j0QERFR8yAJIYQ3T3jhhRcwZ84cBAcHO2yvqKjAsmXL8Je//KVBO/hbUlJSAr1eD4PBwAoVEZECCesTXLYdnnQYAJDbo6fD9p7Hcn3SJ2p5lH5/ez2naeHChbh8+bLL9vLycixcuNDbwxERERH9Jngdmjxdhv/f//4XYWFhDdIpIiIioqZG8Zym0NBQSJIESZLQrVs3h+BkNptx+fJlPProo43SSSIiIiJ/UxyaVq5cCSEEHnjgASxcuBB6vV7ep9Vq0blzZyQlJTVKJ4mIiIj8TXFomjRpEgCgS5cuGDhwIDQaTaN1ioiIiKipURSaSkpK5Nnkffr0QUVFBSoqKty25VVjRERE1BwpCk2hoaHIy8tDZGQk2rZtW+d92sxmc4N3koiIiMjfFIWmf//73/KVcdu3b2/UDhERERE1RYpCU3JystvfiYiIiFoKr9dpysjIwO7du+XHb7zxBm644QakpqaiqKioQTtHRERE1FR4HZqeeuoplJSUAAAOHz6MWbNm4Y477sDPP/+MWbNmNXgHiYiIiJoCr2/Ye/LkScTFxQEANm3ahNGjR2PRokU4ePAg7rjjjgbvIBEREVFT4HWlSavVory8HADwzTffYPjw4QCAsLAwuQJFRERE1Nx4XWm6+eabMWvWLAwaNAj79+/HRx99BAD48ccf0aFDhwbvIBEREVFT4HWladWqVVCr1fjXv/6FNWvW4JprrgEAfPXVVxgxYkSDd5CIiIioKfC60tSpUyd88cUXLttXrFjRIB0iIiIiaoq8Dk0AYLFYcOLECRQUFMBisTjsu/XWWxukY0RERERNidehae/evUhNTcWpU6cghHDYx9uoEBERUXPldWh69NFH0bdvX2zZsgXt27d3ex86IiIioubG69D0008/4V//+heuu+66xugPERERUZPk9dVz/fv3x4kTJxqjL0RERERNlteVpunTp2P27NnIz89HQkICNBqNw/5evXo1WOeIiIiImgqvQ9Mf/vAHAMADDzwgb5MkCUIITgQnIiKiZqte954jIiIiamm8Dk2xsbGN0Q8iImrhqsu7wFSciF+LKxDTNsjf3SFy4fVEcAB4//33MWjQIMTExODUqVMAgJUrV+LTTz9t0M4REVHLUfnrH1Ft6ItXtv7o764QueV1aFqzZg1mzZqFO+64A8XFxfIcprZt22LlypUN3T8iImoBhEUDYQoHAPznpwt+7g2Re16Hptdffx3vvPMOnn32WahUKnl73759cfjw4QbtHBERtQwWU6j8u9PNJoiaDK9D08mTJ9GnTx+X7TqdDmVlZQ3SKSIiallEdWv590tlRpjMljpaE/mH16GpS5cuyM7Odtn+1VdfIS4uriH6RERELYyoblXzuwAuXa6SHweoLeh020Xg02ksQ5FfeX313FNPPYVp06ahsrISQgjs378fH374IRYvXoy///3vjdFHIiJq5mpXmgCgpNIk/966YyVCoqqAQxuAgU8A7br5untEAOoRmu6//35UV1dj7ty5KC8vR2pqKq655hq8+uqrGD9+fGP0kYiImjlhbuXwuLTShGDb70FhNVUnFOQwNJHfeB2aAGDKlCmYMmUKLl68CIvFgsjIyIbuFxERtSCWasfQVFJRLYcmdXCtO02U/Oq7ThE5qVdounjxIn755RdIkoTOnTs3cJeIiKjFsQQ6PCypNCHa9rsmqNak8JJzvusTkROvJoIfPXoUt956K6KiotC/f3/069cPkZGR+P3vf4/jx483Vh+JiKiZExadw+OSymr5d4dKU9lFX3WJyIXiSlN+fj6Sk5PRrl07LF++HD169IAQAjk5OXjnnXdwyy234MiRIxyqIyIirwmztdIkqS5DmFuhpMI2EVwSUAfWqjRVFvu+c0Q2ikPTihUrEBsbi++++w6BgTVl1BEjRuCxxx7DzTffjBUrVmDx4sWN0lEiImrGbJUmSV0CYW6F8iprpUmldVqvqdLg654RyRQPz23btg1PP/20Q2CyCwoKwlNPPYWvv/66QTtHREQtg1xpUpcCACqqrGFJpXVal6mi2JfdInKgODT9/PPPuPHGGz3u79u3L37++ecG6RQREbUswuIUmkzWeUwBGudKU7Evu0XkQHFoKi0tRZs2bTzub926NS5fvtwgnSIiopZDiABAaAEAAbbQVGkLTfbhOXOVZG3M4TnyI6+WHCgtLXU7PAcAJSUlEFzenoiIvFXryrma4Tl7pcn6vWIqV0GlrQZM5YC5GlDVa8Ucoqui+G+dEALdunlehVUIAUmSGqRTRETUctjnM0GqghRQCaBmeM5eaaouVwFtbcsQmMoBleeRD6LGojg0bd++vTH7QURELZR9jSYpwAgEWJcakEOTbU5TtTEAkAIAYbGGpkCGJvI9xaEpOTm5MftBREQtlH0SOFSVkAKs95mTh+dsV8+ZqwIATTBQddkamoj8wKsVwYmIiBqc2V5pqgQk95Umiz00AUAVQxP5B0MTERH5lRD20FTludJkkgCtLTSx0kR+wtBERET+ZdFY/wyokitNlc6VJlMAoAmxtqsq83kXiQCGJiIi8jNhC02SZILkNBE8QG2tNFlMEqAJsj6BlSbyE69D07p161Bezr+wRETUQGwLWyLAZK02wRqaBADJHprMtYfnKvzQSaJ6hKZ58+YhOjoaDz74IPbs2dMYfSIiohakptJUBUmyVpiEAMxSAAJUttBULXF4jvzO69B09uxZbNiwAUVFRbjtttvQo0cP/O1vf0N+fn5j9I+IiJo7YZ/TZAKkanlzlUojD8+Jak4EJ//zOjSpVCqMGTMGH3/8Mc6cOYOHH34YGzduRKdOnTBmzBh8+umnsFgsVz4QgDVr1qBXr15o06YN2rRpg6SkJHz11VfyfiEEFixYgJiYGAQFBWHw4ME4evSowzGMRiOmT5+OiIgIhISEYMyYMTh79qxDm6KiIqSlpUGv10Ov1yMtLQ3FxcUObU6fPo3Ro0cjJCQEERERmDFjBqqqqrw9PURE5CVhsQ7PSU6hyRSgchyes89pYqWJ/OSqJoJHRkZi0KBBSEpKQkBAAA4fPozJkyfj2muvxY4dO674/A4dOmDJkiX4/vvv8f333+P3v/897rzzTjkYLV26FMuXL8eqVatw4MABREdHY9iwYSgtLZWPMXPmTGzevBnp6enYvXs3Ll++jFGjRsFsNsttUlNTkZ2djYyMDGRkZCA7OxtpaWnyfrPZjJEjR6KsrAy7d+9Geno6Nm3ahNmzZ1/N6SEiIiXsV89JVZAkAXWA9ZZcpgA1AlS2q+eqJUBtC03VRn/0kggQ9ZCfny+WLVsm4uLiRGBgoBg/frzYtm2bEEKI8vJyMWvWLNGpU6f6HFqEhoaKv//978JisYjo6GixZMkSeV9lZaXQ6/XizTffFEIIUVxcLDQajUhPT5fbnDt3TgQEBIiMjAwhhBA5OTkCgNi7d6/cJjMzUwAQx44dE0II8eWXX4qAgABx7tw5uc2HH34odDqdMBgMivtuMBgEAK+eQ0TUksWvixfXvvSiiH36C9Ft+cMifl286Pn8VyL26S/Et32ShJjfRoj5bcTxhK5CZPzZ+vjr5/zdbWpmlH5/e11pGj16NDp27Ih169ZhypQpOHfuHD788EMMHToUABAUFITZs2fjzJkzXh3XbDYjPT0dZWVlSEpKwsmTJ5Gfn4/hw4fLbXQ6HZKTk+UJ6FlZWTCZTA5tYmJiEB8fL7fJzMyEXq9H//795TYDBgyAXq93aBMfH4+YmBi5TUpKCoxGI7Kysjz22Wg0oqSkxOGHiIi8ZBues6/RpFVbv5osmpqvKItZAtS2262w0kR+ovjec3aRkZHYuXMnkpKSPLZp3749Tp48qeh4hw8fRlJSEiorK9GqVSts3rwZcXFxcqCJiopyaB8VFYVTp04BAPLz86HVahEaGurSxj4xPT8/H5GRkW7fR+02zq8TGhoKrVZb5wT3xYsXY+HChYreJxERuSdsE8Htq4FrVbbQpK0JTaJ2aDIzNJF/eF1pSk5Oxo033uiyvaqqCu+99x4AQJIkxMbGKjpe9+7dkZ2djb179+Kxxx7DpEmTkJOTI++XJMmhvRDCZZsz5zbu2tenjbN58+bBYDDIP95W14iIqGbJAQQ4VpqExvr5a6mWAEiA2laRYqWJ/MTr0HT//ffDYDC4bC8tLcX999/vdQe0Wi2uu+469O3bF4sXL0bv3r3x6quvIjo6GgBcKj0FBQVyVSg6OhpVVVUoKiqqs8358+ddXvfChQsObZxfp6ioCCaTyaUCVZtOp5Ov/LP/EBGRl+xXzzkNzwl17dCEWsNzlb7tH5GN16HJU/Xl7Nmz0Ov1V90hIQSMRiO6dOmC6OhobNu2Td5XVVWFnTt3YuDAgQCAxMREaDQahzZ5eXk4cuSI3CYpKQkGgwH79++X2+zbtw8Gg8GhzZEjR5CXlye32bp1K3Q6HRITE6/6PRERkWdC1Lr3HGqG5xwrTQDU1hv7stJE/qJ4TlOfPn0gSRIkScKQIUOgVtc81Ww24+TJkxgxYoRXL/7nP/8Zt99+Ozp27IjS0lKkp6djx44dyMjIgCRJmDlzJhYtWoSuXbuia9euWLRoEYKDg5GamgoA0Ov1ePDBBzF79myEh4cjLCwMc+bMQUJCgjwxvWfPnhgxYgSmTJmCt956CwDw8MMPY9SoUejevTsAYPjw4YiLi0NaWhqWLVuGwsJCzJkzB1OmTGH1iIiosdW69xwA6DQq63ZblhJm50oTQxP5h+LQNHbsWABAdnY2UlJS0KpVK3mfVqtF586d8Yc//MGrFz9//jzS0tKQl5cHvV6PXr16ISMjA8OGDQMAzJ07FxUVFZg6dSqKiorQv39/bN26Fa1bt5aPsWLFCqjVaowbNw4VFRUYMmQI1q1bB5VKJbfZuHEjZsyYIV9lN2bMGKxatUrer1KpsGXLFkydOhWDBg1CUFAQUlNT8fLLL3v1foiIyHtCOM5p0tkqTZLtG0quNKk4p4n8SxJCCG+esH79etxzzz0IDAxsrD79ZpWUlECv18NgMLBCRUSkQML6BJQe+ysgNAi5bjECNAb0Nv0du09cxFu/LENKj0MoK9Di9L8j0POTV4D0CcA1fYEp3/q769SMKP3+9nrJgUmTJl1Vx4iIiOyEkGruPec0EVyqfd85gHOayO8UhaawsDD8+OOPiIiIQGhoaJ2X4RcWFjZY54iIqJkTNV9Dkn3JAdvwXIBtloXL1XNcp4n8RFFoWrFihTyPaMWKFVdcJ4mIiEgJ+816Acg367VXmgLUtvvOmZ0rTVxygPxDUWiqPSQ3efLkxuoLERG1NMLxZr1ArdCksj7mkgPUVCgKTd7cU40ToImISCn7auD2oTkA0NlCk0plrTQJLm5JTYSi0NS2bVvFty4xm80N0jEiImoBnG7WC9RUmtQq6/eJ6/Bclc+6R1SbotC0ffv2xu4HERG1QELYbqESUBOEtE6Vppp1mmrNaRIC4Pxa8jFFoSk5Obmx+0FERC2RxXG5AaBmcUuNrdIkqm13/LJXmiAAs6nmBr5EPqIoNP3www+Ij49HQEAAfvjhhzrb9urVq0E6RkREzZ+7OU3y8FyA8/BcrUWVzUaGJvI5RaHphhtuQH5+PiIjI3HDDTdAkiS4W0icc5qIiMgrTjfrBWpCkybAugSBy9VzAGCqBHQ1t9Qi8gVFoenkyZNo166d/DsREVFDsK/TJNUantOoHEOT/Ya9uT3j0ONPgKQCYDGByNcUhabY2Fi3vxMREV0Vp5v1AjWhSedcaQIgLBIklQDMvIKOfM/re88BwPHjx/H6668jNzcXkiShR48emD59Orp3797Q/SMiomZMntPkUGmyhiStLUg5hibbL2ZWmsj3Arx9wr/+9S/Ex8cjKysLvXv3Rq9evXDw4EHEx8fjn//8Z2P0kYiImiv7Ok215jTJlSZbkLIPzwHWShMAVprIL7yuNM2dOxfz5s3DCy+84LB9/vz5ePrpp/GnP/2pwTpHRETNmxCuV8+pnUKT8/AcAIYm8guvK035+fm47777XLZPnDgR+fn5DdIpIiJqIdys06RVSQAEAjk8R02M16Fp8ODB2LVrl8v23bt345ZbbmmQThERUcvgbkVwdUAAAlHz2MLhOWoiFA3PffbZZ/LvY8aMwdNPP42srCwMGDAAALB3717885//xMKFCxunl0RE1DxZXNdp0qgDEASj/NhxTpPtF4Ym8gNFoWns2LEu21avXo3Vq1c7bJs2bRoeffTRBukYERE1f26vnguQEGwLTZZqAMJdpYnDc+R7ikKTxWK5ciMiIiJvCfvVc7VCkzoAQZItNJkdb8rLShP5k9dzmoiIiBpKTaWp9pwmCUG2OU3yzXrl9pzTRP5Tr8Uty8rKsHPnTpw+fRpVVY5/cWfMmNEgHSMiohbAw4rgNcNzzpUmDs+R/3gdmg4dOoQ77rgD5eXlKCsrQ1hYGC5evIjg4GBERkYyNBERkWJypckpNHF4jpoir4fnnnzySYwePRqFhYUICgrC3r17cerUKSQmJuLll19ujD4SEVFzZV8RXKq9IrgkXz0nPFaaGJrI97wOTdnZ2Zg9ezZUKhVUKhWMRiM6duyIpUuX4s9//nNj9JGIiJopdyuCa1Q1Sw64Vpo4PEf+43Vo0mg0kCTrX9qoqCicPn0aAKDX6+XfiYiIrkQI4XZFcI0qAMGSpzlNtl9YaSI/8HpOU58+ffD999+jW7duuO222/CXv/wFFy9exPvvv4+EhITG6CMRETVDJrMAoALgtCJ4reE5z5UmhibyPa8rTYsWLUL79u0BAH/9618RHh6Oxx57DAUFBXj77bcbvINERNQ8VZjMNQ9chuesocjssuSA7RcOz5EfeF1p6tu3r/x7u3bt8OWXXzZoh4iIqGWoqLKHJjMkqWYRZW2t4blqs8rhOZzTRP5U78UtCwoKsGvXLuzevRsXLlxoyD4REVELIFeaAhwD0E0f3IhA2/BctcVTaOLwHPme16GppKQEaWlpuOaaa5CcnIxbb70VMTExmDhxIgwGQ2P0kYiImiF7pan2auAA8H9LquTFLZ1DEzg8R37kdWh66KGHsG/fPnzxxRcoLi6GwWDAF198ge+//x5TpkxpjD4SEVEz5KnSJAEIQQUAwORxeI6VJvI9r+c0bdmyBV9//TVuvvlmeVtKSgreeecdjBgxokE7R0REzVelLTRJAa5VI3ulyeQ8PCdPg2KliXzP60pTeHg49Hq9y3a9Xo/Q0NAG6RQRETV/8kRwybVqVDM85/jf9qw0kT95HZqee+45zJo1C3l5efK2/Px8PPXUU3j++ecbtHNERNR8VdRRabKv02RkaKImRNHwXJ8+feRVwAHgp59+QmxsLDp16gQAOH36NHQ6HS5cuIBHHnmkcXpKRETNijynSXIzPGdbcqDKokZIre1cp4n8SVFoGjt2bCN3g4iIWpqaOU2uVaNA2+KWVfbbrNiw0kT+pCg0zZ8/v7H7QURELYw8p8nd8Jyt0mQUWoftvPcc+ZPXV8/ZZWVlITc3F5IkIS4uDn369GnIfhERUTMnz2lyMzxnv42K5zlNHJ4j3/M6NBUUFGD8+PHYsWMH2rZtCyEEDAYDbrvtNqSnp6Ndu3aN0U8iImpmPK3TBAjobFfUuVaaODxH/uP11XPTp09HSUkJjh49isLCQhQVFeHIkSMoKSnBjBkzGqOPRETUDFV6WBFcCgBUkgAAGIXznCbbLwxN5AdeV5oyMjLwzTffoGfPnvK2uLg4vPHGGxg+fHiDdo6IiJovjyuCq0VNG3iqNHF4jnzP60qTxWKBRqNx2a7RaGCxWNw8g4iIyFWFyfqd4Xz1XIAtNFUJFarhPKfJ9gsrTeQHXoem3//+93jiiSfw66+/ytvOnTuHJ598EkOGDGnQzhERUfNVUVVt/cVpIniAyhqaKqCDKYATwanp8Do0rVq1CqWlpejcuTOuvfZaXHfddejSpQtKS0vx+uuvN0YfiYioGarwsE5TgNpaTqqADuYAx68pTgQnf/J6TlPHjh1x8OBBbNu2DceOHYMQAnFxcRg6dGhj9I+IiJopT+s02ec0lQsdql0qTbZfzMbG7h6RC69CU3V1NQIDA5GdnY1hw4Zh2LBhjdUvIiJq5uQ5TXUMz1VLnipN1Y3fQSInXg3PqdVqxMbGwmw2N1Z/iIiohaiUr55zPxG8AnVUmiyc00S+5/Wcpueeew7z5s1DYWFhY/SHiIhaCPvwnOQ8PKeqGZ4zBagc9nFOE/mT13OaXnvtNZw4cQIxMTGIjY1FSEiIw/6DBw82WOeIiKj5qrmNivtKUyW0MDuFJthDk7AAFjPgvJ+oEXldabrzzjsxZ84czJs3D6mpqbjzzjsdfryxePFi3HTTTWjdujUiIyMxduxYHD9+3KGNEAILFixATEwMgoKCMHjwYBw9etShjdFoxPTp0xEREYGQkBCMGTMGZ8+edWhTVFSEtLQ06PV66PV6pKWlobi42KHN6dOnMXr0aISEhCAiIgIzZsxAVRX/a4aIqDF4mghuD03l0KFacq401XrAahP5mNeVpgULFjTYi+/cuRPTpk3DTTfdhOrqajz77LMYPnw4cnJy5ArW0qVLsXz5cqxbtw7dunXDiy++iGHDhuH48eNo3bo1AGDmzJn4/PPPkZ6ejvDwcMyePRujRo1CVlYWVCrrP7jU1FScPXsWGRkZAICHH34YaWlp+PzzzwEAZrMZI0eORLt27bB7925cunQJkyZNghCCSykQETWwarMFVWYPE8Edrp7zMDwHWNdq0gQ1bkeJalEcmsrLy/HUU0/hk08+gclkwtChQ/Haa68hIiKi3i9uDzB27777LiIjI5GVlYVbb70VQgisXLkSzz77LO6++24AwPr16xEVFYUPPvgAjzzyCAwGA9auXYv3339fXvZgw4YN6NixI7755hukpKQgNzcXGRkZ2Lt3L/r37w8AeOedd5CUlITjx4+je/fu2Lp1K3JycnDmzBnExMQAAF555RVMnjwZL730Etq0aVPv90lERI4qq2uVjJwmgkvy1XOBbkJTrQdc4JJ8TPHw3Pz587Fu3TqMHDkS48ePx7Zt2/DYY481aGcMBgMAICwsDABw8uRJ5OfnO9zTTqfTITk5GXv27AEAZGVlwWQyObSJiYlBfHy83CYzMxN6vV4OTAAwYMAA6PV6hzbx8fFyYAKAlJQUGI1GZGVlNej7JCJq6eShOVgAyXH5gLqG5wAJsG/j8Bz5mOJK08cff4y1a9di/PjxAICJEydi0KBBMJvN8hDY1RBCYNasWbj55psRHx8PAMjPzwcAREVFObSNiorCqVOn5DZarRahoaEubezPz8/PR2RkpMtrRkZGOrRxfp3Q0FBotVq5jTOj0QijsWaBtZKSEsXvl4ioJZOXG5BMkCTHffKSA0LrUmkCAKi0QHUFQxP5nOJK05kzZ3DLLbfIj/v16we1Wu1wD7qr8fjjj+OHH37Ahx9+6LJPcvoXJYRw2ebMuY279vVpU9vixYvlieV6vR4dO3ass09ERGRVcwsV1yE2SVVzGxWPoQkALFzgknxLcWgym83QarUO29RqNaqrr/4v7fTp0/HZZ59h+/bt6NChg7w9OjoaAFwqPQUFBXJVKDo6GlVVVSgqKqqzzfnz511e98KFCw5tnF+nqKgIJpPJpQJlN2/ePBgMBvnnzJkz3rxtIqIWq9zDlXNA7eG5QJglN19TKo31T1aayMcUD88JITB58mTodDp5W2VlJR599FGHtZo+/vhjxS8uhMD06dOxefNm7NixA126dHHY36VLF0RHR2Pbtm3o06cPAKCqqgo7d+7E3/72NwBAYmIiNBoNtm3bhnHjxgEA8vLycOTIESxduhQAkJSUBIPBgP3796Nfv34AgH379sFgMGDgwIFym5deegl5eXlo3749AGDr1q3Q6XRITEx023+dTudwPoiISBl5YUvJNfjUDM/pYApw8zXF0ER+ojg0TZo0yWXbxIkTr+rFp02bhg8++ACffvopWrduLVd69Ho9goKCIEkSZs6ciUWLFqFr167o2rUrFi1ahODgYKSmpsptH3zwQcyePRvh4eEICwvDnDlzkJCQIF9N17NnT4wYMQJTpkzBW2+9BcC65MCoUaPQvXt3AMDw4cMRFxeHtLQ0LFu2DIWFhZgzZw6mTJnCK+eIiBpYzS1U6qo06WAOqKvSxKvnyLcUh6Z33323wV98zZo1AIDBgwe7vNbkyZMBAHPnzkVFRQWmTp2KoqIi9O/fH1u3bpXXaAKAFStWQK1WY9y4caioqMCQIUOwbt06hwnqGzduxIwZM+Sr7MaMGYNVq1bJ+1UqFbZs2YKpU6di0KBBCAoKQmpqKl5++eUGf99ERC1dzWrg7uY01bp6zm2lyTZVhKGJfEwSQgh/d6K5KCkpgV6vh8FgYHWKiKgOm7LOYvY//wtVyHEEd3L8j/Ksw+egbWXGXcaFEOcFFu9522F/zxltgYIc4L7PgN8l+7DX1Fwp/f72+jYqREREV6uuq+cc1mlyV2myb2OliXzM69uoEBERXa2adZrcTASXVwTXQQqwuOyvGZ7jRHDyLVaaiIjI5+xLDrhUmoSAVOvquTrnNFlYaSLfYmgiIiKfq/Bw9VygEPIK4dbbqPDqOWo6GJqIiMjnPK3TFFTr2qQKj1fPcZ0m8g+GJiIi8rmadZqcQpPFGprMZgkWBKDa7TpNnNNE/sHQREREPufp6rkgYZ34XW22rrNnltzde47Dc+QfDE1ERORz9uE5SM6hyV5psn491XnDXoYm8jGGJiIi8rmaSpPjEFugbXjOUm2dDe42NAVwThP5B0MTERH53JUqTRZ7pYnDc9SEMDQREZHPeao0BVusc5rqrDRxnSbyE4YmIiLyOU/rNMmVJiWhicNz5GMMTURE5HOV8jpN7kOTqLY+FlIAzJAcn6zivefIPxiaiIjI5zxWmiz20FQTlFyqTaw0kZ8wNBERkc/V3HvO6LDdvk4Tqmu2eQ5NrDSRbzE0ERGRT1WbLTBWW8OR80RwudJUKw+5hiZePUf+wdBEREQ+VWZfbgBwuY1KoP3ec2YgwFZ1clkVnOs0kZ8wNBERkU+VV1nH3jQqCZJkdthnH56zVAdAZbHuMznftJdzmshPGJqIiMinyozWMBSsVbvsqz0RXG0LTWbnm/bah+cs1SDyJYYmIiLyKXulKUTrugZT7XWa1MIamlxWBWelifyEoYmIiHxKrjTpXCtNwbXuPWevNHmeCM7QRL7F0ERERD5VV6UpRNTcRuXKoYlXz5FvMTQREZFP2a+eczenKcR+7zlTAFTCU2jiOk3kHwxNRETkU+VGW6VJ51ppqj08p7FwThM1LQxNRETkU3VVmoJrTQRXeRqeC+C958g/GJqIiMinPFWaVELIi1taTAE1lSbee46aCIYmIiLyKU+VphDb0BwAmKulK89psrDSRL7F0ERERD5lv3ru/WN/d9gebL9yzgzAUmtxS5c5TRyeI/9gaCIiIp+yr9OEAKPDdvnKuWrrV5Navo0Kh+eoaWBoIiIin7JXmiTJMfTYh+csJgkAat1GhaGJmgaGJiIi8in7nCYpwCk01VrYEkAdt1GxL27Je8+RbzE0ERGRT9mvnnMengvyUGlyXXKAt1Eh/2BoIiIin/JYafIwp6nOq+eEAJGvMDQREZFPyXOanCeC11rYElAwPAfwCjryKYYmIiLyqZqr5zxUmq40PGevNFkbN04nidxgaCIiIp+qqTQ5hqaa+85Zv5pUthDlGppqV5o4r4l8h6GJiIh8xmIRKK/yUGkSTpUmYQ1XLotbBtRaSZzDc+RDDE1EROQz5Saz/LvznKaaSpN9eM4aolwWt5QkrtVEfsHQREREPnO50r62khmQHKtENXOa7FfP2SpNzqEJqBWaWGki32FoIiIinymttIUcVSUkyXFfsMvVcx4qTUDNEB1DE/kQQxMREflMqdH9cgOAu6vnPMxpAjg8R37B0ERERD5TWmkPTZUu+0I8zGlyuXoOYGgiv2BoIiIin7lc6bnS1MoWksxOc5rchybbsgMW3n+OfIehiYiIfKb2nCZnrYTTRHDbY5cVwYFaN+1lpYl8h6GJiIh85rLR/fCcJARa2YbnzFWOc5o4PEdNBUMTERH5TImHOU2tLEL+QrJXmuwrgrtfcsBeaeLwHPkOQxMREfmMPKdJ5TinyT6fqVKSICzWSpPGVmlyu+QAK03kBwxNRETkM/KcJqdKU2tbaLocULN4k8o2p8ntkgMBnNNEvsfQREREPuNpTpM9NJUG1Hwt1V1psocmLm5JvsPQREREPiOv06RyH5pKaoWmuuc02YbnLAxN5DsMTURE5DOeVgSvGZ6r+VpSC+vNfbnkADUVfg1N//nPfzB69GjExMRAkiR88sknDvuFEFiwYAFiYmIQFBSEwYMH4+jRow5tjEYjpk+fjoiICISEhGDMmDE4e/asQ5uioiKkpaVBr9dDr9cjLS0NxcXFDm1Onz6N0aNHIyQkBBEREZgxYwaqqviPkYioIXme02RdbqD28JzaYgtNHJ6jJsKvoamsrAy9e/fGqlWr3O5funQpli9fjlWrVuHAgQOIjo7GsGHDUFpaKreZOXMmNm/ejPT0dOzevRuXL1/GqFGjYDab5TapqanIzs5GRkYGMjIykJ2djbS0NHm/2WzGyJEjUVZWht27dyM9PR2bNm3C7NmzG+/NExG1QJ6unnM3EbwmNLn5quLVc+QHan+++O23347bb7/d7T4hBFauXIlnn30Wd999NwBg/fr1iIqKwgcffIBHHnkEBoMBa9euxfvvv4+hQ4cCADZs2ICOHTvim2++QUpKCnJzc5GRkYG9e/eif//+AIB33nkHSUlJOH78OLp3746tW7ciJycHZ86cQUxMDADglVdeweTJk/HSSy+hTZs2PjgbRETNn6d7z7VyM6dJXtxScvNVxUoT+UGTndN08uRJ5OfnY/jw4fI2nU6H5ORk7NmzBwCQlZUFk8nk0CYmJgbx8fFym8zMTOj1ejkwAcCAAQOg1+sd2sTHx8uBCQBSUlJgNBqRlZXlsY9GoxElJSUOP0RE5F612YIKk20UwOOSA7XnNNkngtdVaWJoIt9psqEpPz8fABAVFeWwPSoqSt6Xn58PrVaL0NDQOttERka6HD8yMtKhjfPrhIaGQqvVym3cWbx4sTxPSq/Xo2PHjl6+SyKilsO+Gjjg+eq5UjeVJlOAm0oT12kiP2iyoclOkiSHx0IIl23OnNu4a1+fNs7mzZsHg8Eg/5w5c6bOfhERtWTF5daA01qnhiRZHPa5mwguLzkguas0MTSR7zXZ0BQdHQ0ALpWegoICuSoUHR2NqqoqFBUV1dnm/PnzLse/cOGCQxvn1ykqKoLJZHKpQNWm0+nQpk0bhx8iInKvuMI6lKYP1rjsc7u4paij0iSv08R7z5HvNNnQ1KVLF0RHR2Pbtm3ytqqqKuzcuRMDBw4EACQmJkKj0Ti0ycvLw5EjR+Q2SUlJMBgM2L9/v9xm3759MBgMDm2OHDmCvLw8uc3WrVuh0+mQmJjYqO+TiKilMJTbQlOQa2jS17m4ZQCE8xN49Rz5gV+vnrt8+TJOnDghPz558iSys7MRFhaGTp06YebMmVi0aBG6du2Krl27YtGiRQgODkZqaioAQK/X48EHH8Ts2bMRHh6OsLAwzJkzBwkJCfLVdD179sSIESMwZcoUvPXWWwCAhx9+GKNGjUL37t0BAMOHD0dcXBzS0tKwbNkyFBYWYs6cOZgyZQqrR0REDaS4whpw2gZrcNppn962vIDBzW1UhBQAixQg34sOAKCyfX0xNJEP+TU0ff/997jtttvkx7NmzQIATJo0CevWrcPcuXNRUVGBqVOnoqioCP3798fWrVvRunVr+TkrVqyAWq3GuHHjUFFRgSFDhmDdunVQqWoWQ9u4cSNmzJghX2U3ZswYh7WhVCoVtmzZgqlTp2LQoEEICgpCamoqXn755cY+BURELYa90tQ2SAvUGlVTCYE2tjlNxaoAwFZXqh2Sql1CE6+eI9/za2gaPHgwhHApusokScKCBQuwYMECj20CAwPx+uuv4/XXX/fYJiwsDBs2bKizL506dcIXX3xxxT4TEVH9OMxpqrVCi31oDrAPz1mrTupa85WqA9TQ1Z6/xNBEftBk5zQREVHzUixXmhznNOnN9vlMEsxS7RXBa1WanNdq4tVz5AcMTURE5BMGW6WprdPVc21t85mKnO4xFwCBANs+s/NNewO4Ijj5HkMTERH5hH2dJuer59raKk3W+UyO7KuCuyw7wKvnyA8YmoiIyCfslSZ9kNZhu31Ok8HN7VLs85pcbqViH56zsNJEvsPQREREPlHsaXiurkqT5UqVJoYm8h2GJiIi8gl5yQGXOU32SpPK5TkqYZ/TxIng5H8MTURE1OgsFlFTaXIenjNbg1Gxm+E5jW0iuGuliaGJfI+hiYiIGp2hwgSzbQHLsBDH0BRq8Tw8Z18V3ORchZKH53jvOfIdhiYiImp0l8qMAKxXzmnVjl899jlN7iaCa2xzlkwqp/vV8eo58gOGJiIianQXL1vDTXgrrcu+MNsQ3CWV65wmra3SVOU8PMd1msgPGJqIiKjRXbKFpogQncu+iGpraLroLjTZht+qXCpNnNNEvsfQREREjc4+POdcadJZLGhtuwepu0qTxrYOk+clB4wN3FMizxiaiIio0Xkangu3zWcySkBpgOTyPHulyaRyCk2aQOuf1QxN5DsMTURE1OguXbZVmpyG5yLMtYbmJDehydOcJnWQ9U9TBWCrVBE1NoYmIiJqdPKcptaOoSnc7HkSOABobRO9XeY0qe3HEZzXRD6jvnITIiKiq3PRVmmKcFqjKaJWaPq/xa5rLmk8VZo0QTW/V1fWClFEjYeVJiIianSXyuxzmpwrTdY5Te6unANqKk0uc5pUWgC24TxTZcN1lKgODE1ERNToLpTaKk2tPFWa3H8d1cxpchqek6SaalN1RQP2lMgzhiYiImpUpZUmXDZaw0+0PtBhX8QV5jRp5HWa3MwmsQ/J8Qo68hGGJiIialT5BuvwmT5Ig2CtY/iJsi1sed7T8JybdZpye/REbo+ejlfQEfkAQxMRETWqPFtoau9UZQKAaFslKU/t/rokjyuCA7XWauKcJvINhiYiImpU+SXWUBPVxjE0aS0CEbaJ4PlqT5UmD1fPAaw0kc8xNBERUaPK91BpirJVkSokCcUB7r+ONJ7WaQI4p4l8jqGJiIgalX14znkSeLRtPlO+2v1q4EBNpcnl3nMAr54jn2NoIiKiRpVvsIYa50pT+2prIMp3d2WcjbwiuNvhOdvxuE4T+QhDExERNapfi+2VpiCH7fZKU56H+UxArRXB3U4Et1eaGJrINxiaiIio0QghcLqwHADQKSzYYZ+90uTpyjmg5uo5t8Nz8pwmhibyDYYmIiJqNBdKjagwmREgAde0daw0xdpC01lNHaHJYp8IzqvnyP8YmoiIqNGcslWZYtoGQat2/MrpZLKGpl/qCk1mD7dRAWqt08Sr58g3GJqIiKjRnLpkDU2x4Y5Dc0EWC6Jst1A5rXYTiGzsE8Er1VrXnfaJ4Lx6jnyEoYmIiBrN6UtlAIBOYSEO2zvaqkxFAQEo8XCzXgAIMlurSJWqOkITr54jH2FoIiKiRmMfnnOuNHW2zWc6XcfQHAAEVlcBAKpVapgkp6vs7MNzpvIG6CnRlTE0ERFRo/np/GUAwO8iHCtNsSbrsNupK4SmoFrzlVyG6LStrX9WlV1lL4mUYWgiIqJGUW224MQFa2jqEd3GYV/XKmtoOqFxM+xWi1pY5FupVNiXGLDTtbL+WXW5AXpLdGV1R3wiIqJ6+uVSOaqqLQjSqNAh1Lo8QML6BADAp1XWYbcftZ4ngdsFVVfBpNK4CU22SpOxtOE6TVQHVpqIiKhR/HjeGma6RbVCQEDNveV0FgtibRPBj2vrrjQBQKCnyeBaW6XJyEoT+QZDExERNYrj+dbQ1D26tcP260wmqABcCgjAxTqunLMLsk0G91hpqmKliXyDoYmIiBrFD2eLAQA92zvOZ4oz2ofmtIAkOT/NRaBtMrjLRHAOz5GPMTQREVGDE0Lg0JliAMCNnUId9vW2haYfAq88NAcAwbbQ5FJp4vAc+RhDExERNbifL5ahuNwEnTrApdJ0Y6U1BB3U6dw91UWgp9Bkv3rObARsQ3hEjYmhiYiIGtzBU0UAgF4d9A73nIuoNqNjdTUsAH4IVBaagszu5zTl3phU84DLDpAPMDQREVGD2/O/SwCAvp3DHLb3q7Te8uRHrQaXA5R9BXmsNAkJlmrbnChjyVX0lkgZhiYiImpQFovAf368AABI7tbOYV9yufXmuruCghQfr3WV9TYppRrX51hM9tDEyeDU+BiaiIioQR0+Z8Clsiq00qmRGFtrEri5GjdXWEPTzmDloUlvu01KiTbEZZ+5yvY1VlFU/w4TKcTQREREDerLw3kAgFu6RkBTex2mkzvQxiJQGBCAwzplV84BQBtbaDLoXENTtdF2/LIL9e8wkUIMTURE1GDMFoHNh84BAO684RrHnYc2AAC+ahUMi4L1mezaGG3Dc+4qTZX20HSxHr0l8g5DExERNZh/HytAQakRbYM1+H2PyJodpfnAsS0AgM2tWnl1zDZ1DM9VV7LSRL7D0ERERA1CCIHVO04AAO65qaPDUgPY8zpgrkK2TovjXgzNATVzmgzuKk1GlfUXhibyAbW/O0BERM3D10fzceh0MbTqADx4cxd5+x1/74GPz+UjEMCbbfVeH7et7co4o1qLUk0QWpsq5H1ypelyAXJ79AQA9DyWW/83QVQHVpqIiOiqFZZVYcFnOQCAKbd0QWTrQOsOswl/vVCIQCGQGRiI74ICvT52oNmE0ErrOkz5wY7rPpnKbJWmwpP17zyRQgxNTlavXo0uXbogMDAQiYmJ2LVrl7+7RETUpJUZq/Hohizkl1SiS0QIpv++q3WHxQx8PhOJRiPKJAkvRIQqukGvO+3LrItl5oeEO2yvKrUNmBT+DEDU9y0QKcLQVMtHH32EmTNn4tlnn8WhQ4dwyy234Pbbb8fp06f93TUioibpRMFljH97L/afLEQrnRpvpSUiUKMCSn4FPrgHyN4AC4CnI8NxVqOp9+vYQ9OpNtEO203lKljMAMxGaFqZAQC5PXrKQ3VEDYmhqZbly5fjwQcfxEMPPYSePXti5cqV6NixI9asWePvrhERNRmVJjN2HC/ArI+yMWLlf3D4nAGhwRpsmNwb3cqygM9nAq/dCJzYBqh0mBMZgZ3BwVf1mj0KTwEAjoR3cdwhJFQWWsNYSKTxql6D6Eo4EdymqqoKWVlZeOaZZxy2Dx8+HHv27PHqWNnbNqJViILVboXyUrIXTQFYlDf1pg+1/ldZYy867c0bVNjW3kpS0I+aQyo4thdt69cHhf1Q2rbW7iv1w7EL3g51eG7vvEeq49gue7zqRx1t3e5y397dVo/nzovjenEAt2/bUx88n6Kr7IcATGYLKkxmVJgsKDdW42KZEcVlVQgUleghlaFfQBm6642ID7wIzfu/ABZTzfM79ANGv4ptGfd40Q/3brjwEwDgcMS1+PR3gxBWWYoAYf2sKy/7HxLb/Q+B11cjv3U4zBZrPaDy6/VX/bpUf1q1Cte3b3Plht1GAGrvrqj0F4Ymm4sXL8JsNiMqKsphe1RUFPLz890+x2g0wmis+S8bg8EAAPjdd3PRRle/cXsiot+cYqAC1h+EtAO6JAMJ44DYJECSYK4wKzrMZbPndm1LzuOmXw5gX/vrsbp7isO+MBjwWeVzaKu+jMTf/VCzY8d0r98KNSxFt1F+4gfAaYK/r5WUWHsqrvAfaQxNTiSnSYpCCJdtdosXL8bChQtdtndccblR+kZE1PSVAvgZwLteP7PflRqccP28BYAzAGK9fjVqMpZ0uXIbHyktLYVe73lZDIYmm4iICKhUKpeqUkFBgUv1yW7evHmYNWuW/Li4uBixsbE4ffp0nSe9uSspKUHHjh1x5swZtGmjoDTbTPE8WPE8WPE8WPE8WPE81GgK50IIgdLSUsTExNTZjqHJRqvVIjExEdu2bcNdd90lb9+2bRvuvPNOt8/R6XTQ6XQu2/V6fYv/RwAAbdq04XkAz4Mdz4MVz4MVz4MVz0MNf58LJcUOhqZaZs2ahbS0NPTt2xdJSUl4++23cfr0aTz66KP+7hoRERH5GUNTLffccw8uXbqEF154AXl5eYiPj8eXX36J2FiOlhMREbV0DE1Opk6diqlTp9bruTqdDvPnz3c7ZNeS8DxY8TxY8TxY8TxY8TxY8TzU+C2dC0lc6fo6IiIiIuKK4ERERERKMDQRERERKcDQRERERKQAQxMRERGRAi02NK1evRpdunRBYGAgEhMTsWvXrjrb79y5E4mJiQgMDMTvfvc7vPnmmy5tNm3ahLi4OOh0OsTFxWHz5s1ev64QAgsWLEBMTAyCgoIwePBgHD169OrebB2a4nkwmUx4+umnkZCQgJCQEMTExOC+++7Dr7/+evVv2IOmeB6cPfLII5AkCStXrvT6/XmjKZ+L3NxcjBkzBnq9Hq1bt8aAAQNw+vTp+r/ZOjTV83D58mU8/vjj6NChA4KCgtCzZ0+sWbPm6t5sHfxxHv7zn/9g9OjRiImJgSRJ+OSTT1yO0RI+K690HlrKZ6WSvw+1NepnpWiB0tPThUajEe+8847IyckRTzzxhAgJCRGnTp1y2/7nn38WwcHB4oknnhA5OTninXfeERqNRvzrX/+S2+zZs0eoVCqxaNEikZubKxYtWiTUarXYu3evV6+7ZMkS0bp1a7Fp0yZx+PBhcc8994j27duLkpKSFnMeiouLxdChQ8VHH30kjh07JjIzM0X//v1FYmJig5+Dpnweatu8ebPo3bu3iImJEStWrGjwc1CfPgnh23Nx4sQJERYWJp566ilx8OBB8b///U988cUX4vz58y3qPDz00EPi2muvFdu3bxcnT54Ub731llCpVOKTTz5pNufhyy+/FM8++6zYtGmTACA2b97s8lot4bPySuehpXxWKvn7YNfYn5UtMjT169dPPProow7bevToIZ555hm37efOnSt69OjhsO2RRx4RAwYMkB+PGzdOjBgxwqFNSkqKGD9+vOLXtVgsIjo6WixZskTeX1lZKfR6vXjzzTe9eIfKNNXz4M7+/fsFAI//OK9GUz8PZ8+eFddcc404cuSIiI2NbdTQ1JTPxT333CMmTpzo3Ruqp6Z8Hq6//nrxwgsvOLS58cYbxXPPPafgnXnHX+ehNndfki3ls7K2K4UFu+b4WVlbXefBF5+VLW54rqqqCllZWRg+fLjD9uHDh2PPnj1un5OZmenSPiUlBd9//z1MJlOdbezHVPK6J0+eRH5+vkMbnU6H5ORkj32rr6Z8HtwxGAyQJAlt27ZV9P6UaurnwWKxIC0tDU899RSuv/76+r1JhZryubBYLNiyZQu6deuGlJQUREZGon///lcs09dHUz4PAHDzzTfjs88+w7lz5yCEwPbt2/Hjjz8iJSWlfm/YA3+dByVawmdlfTW3z0qlfPVZ2eJC08WLF2E2mxEVFeWwPSoqCvn5+W6fk5+f77Z9dXU1Ll68WGcb+zGVvK79T2/6Vl9N+Tw4q6ysxDPPPIPU1NQGv5ljUz8Pf/vb36BWqzFjxoz6vUEvNOVzUVBQgMuXL2PJkiUYMWIEtm7dirvuugt33303du7cWf837UZTPg8A8NprryEuLg4dOnSAVqvFiBEjsHr1atx88831e8Me+Os8KNESPivrozl+Virlq8/KFnsbFUmSHB4LIVy2Xam983Ylx2yoNg2lKZ8HwDrRcfz48bBYLFi9enUd7+TqNMXzkJWVhVdffRUHDx5stP//3WmK58JisQAA7rzzTjz55JMAgBtuuAF79uzBm2++ieTk5Cu+L281xfMAWEPT3r178dlnnyE2Nhb/+c9/MHXqVLRv3x5Dhw5V8M6846/z0Bh9uxpN+TwAzf+zsi6+/KxscZWmiIgIqFQqlxRbUFDgknbtoqOj3bZXq9UIDw+vs439mEpeNzo6GgC86lt9NeXzYGcymTBu3DicPHkS27Zta/D/cvK2P3a+Og+7du1CQUEBOnXqBLVaDbVajVOnTmH27Nno3Llzvd+zJ035XERERECtViMuLs6hTc+ePRv86rmmfB4qKirw5z//GcuXL8fo0aPRq1cvPP7447jnnnvw8ssv1/9Nu+Gv86BES/is9EZz/qxUwpeflS0uNGm1WiQmJmLbtm0O27dt24aBAwe6fU5SUpJL+61bt6Jv377QaDR1trEfU8nrdunSBdHR0Q5tqqqqsHPnTo99q6+mfB6Amg+Bn376Cd988438D6yhNeXzkJaWhh9++AHZ2dnyT0xMDJ566il8/fXX9X/THjTlc6HVanHTTTfh+PHjDm1+/PFHxMbGevlO69aUz4PJZILJZEJAgONHt0qlkqtxDcVf50GJlvBZqVRz/6xUwqeflQ0+tfw3wH7Z5Nq1a0VOTo6YOXOmCAkJEb/88osQQohnnnlGpKWlye3tl00++eSTIicnR6xdu9blssnvvvtOqFQqsWTJEpGbmyuWLFni8XJiT68rhPUyWr1eLz7++GNx+PBhMWHChEa/jLapnQeTySTGjBkjOnToILKzs0VeXp78YzQaW8x5cKexr55ryufi448/FhqNRrz99tvip59+Eq+//rpQqVRi165dLeo8JCcni+uvv15s375d/Pzzz+Ldd98VgYGBYvXq1c3mPJSWlopDhw6JQ4cOCQBi+fLl4tChQy7LszT3z8ornYeW8lmp5O+Ds8b6rGyRoUkIId544w0RGxsrtFqtuPHGG8XOnTvlfZMmTRLJyckO7Xfs2CH69OkjtFqt6Ny5s1izZo3LMf/5z3+K7t27C41GI3r06CE2bdrk1esKYb2Udv78+SI6OlrodDpx6623isOHDzfMm3ajKZ6HkydPCgBuf7Zv395g711pf/z598FZY4emK/XJ3+di7dq14rrrrhOBgYGid+/ejbI2kZL++PM85OXlicmTJ4uYmBgRGBgounfvLl555RVhsVga5o170Z/GOg/bt293++9/0qRJcpuW8Fl5pfPQUj4rlfx9cNZYn5WSELZZWURERETkUYub00RERERUHwxNRERERAowNBEREREpwNBEREREpABDExEREZECDE1ERERECjA0ERERESnA0ERERESkAEMTEZGfrF27FsOHD/fqOQUFBWjXrh3OnTvXSL0iIk8YmoioScrPz8f06dPxu9/9DjqdDh07dsTo0aPx7bff+rtrdZIkCZ988skV2xmNRvzlL3/B888/77Lv7Nmz0Gq16NGjh8u+yMhIpKWlYf78+Q3RXSLyAkMTETU5v/zyCxITE/Hvf/8bS5cuxeHDh5GRkYHbbrsN06ZNq/dxhRCorq522V5VVXU13a2XTZs2oVWrVrjllltc9q1btw7jxo1DeXk5vvvuO5f9999/PzZu3IiioiJfdJWIbBiaiKjJmTp1KiRJwv79+/HHP/4R3bp1w/XXX49Zs2Zh7969AKzBSpIkZGdny88rLi6GJEnYsWMHAGDHjh2QJAlff/01+vbtC51Oh127dmHw4MF4/PHHMWvWLERERGDYsGEAgJycHNxxxx1o1aoVoqKikJaWhosXL8rHHzx4MGbMmIG5c+ciLCwM0dHRWLBggby/c+fOAIC77roLkiTJj91JT0/HmDFjXLYLIfDuu+8iLS0NqampWLt2rUubhIQEREdHY/PmzQrPKBE1BIYmImpSCgsLkZGRgWnTpiEkJMRlf9u2bb0+5ty5c7F48WLk5uaiV69eAID169dDrVbju+++w1tvvYW8vDwkJyfjhhtuwPfff4+MjAycP38e48aNczjW+vXrERISgn379mHp0qV44YUXsG3bNgDAgQMHAADvvvsu8vLy5Mfu7Nq1C3379nXZvn37dpSXl2Po0KFIS0vD//3f/6G0tNSlXb9+/bBr1y6vzwUR1Z/a3x0gIqrtxIkTEEK4nc9TXy+88IJcTbK77rrrsHTpUvnxX/7yF9x4441YtGiRvO0f//gHOnbsiB9//BHdunUDAPTq1UueT9S1a1esWrUK3377LYYNG4Z27doBsAa76Ohoj/0pLi5GcXExYmJiXPatXbsW48ePh0qlwvXXX4/rrrsOH330ER566CGHdtdccw0OHTrk5ZkgoqvBShMRNSlCCADWCdUNxV1Fx3lbVlYWtm/fjlatWsk/9uD2v//9T25nr1TZtW/fHgUFBV71p6KiAgAQGBjosL24uBgff/wxJk6cKG+bOHEi/vGPf7gcIygoCOXl5V69LhFdHVaaiKhJ6dq1KyRJQm5uLsaOHeuxXUCA9b/57CELAEwmk9u27ob5nLdZLBaMHj0af/vb31zatm/fXv5do9E47JMkCRaLxWM/3QkPD4ckSS4TuT/44ANUVlaif//+8jYhBCwWC3JychAXFydvLywslCtbROQbrDQRUZMSFhaGlJQUvPHGGygrK3PZX1xcDAByYMjLy5P31Z4U7q0bb7wRR48eRefOnXHdddc5/LgLXZ5oNBqYzeY622i1WsTFxSEnJ8dh+9q1azF79mxkZ2fLP//9739x2223uVSbjhw5gj59+ih/g0R01RiaiKjJWb16NcxmM/r164dNmzbhp59+Qm5uLl577TUkJSUBsA5PDRgwAEuWLEFOTg7+85//4Lnnnqv3a06bNg2FhYWYMGEC9u/fj59//hlbt27FAw88cMUQVFvnzp3x7bffIj8/v84lAVJSUrB79275cXZ2Ng4ePIiHHnoI8fHxDj8TJkzAe++9J1fSysvLkZWV5fXCmER0dRiaiKjJ6dKlCw4ePIjbbrsNs2fPRnx8PIYNG4Zvv/0Wa9askdv94x//gMlkQt++ffHEE0/gxRdfrPdrxsTE4LvvvoPZbEZKSgri4+PxxBNPQK/Xy0OBSrzyyivYtm0bOnbsWGclaMqUKfjyyy9hMBgAWKtMcXFxbifAjx07FoWFhfj8888BAJ9++ik6derkdo0nImo8kqg9IYCIiHxm3Lhx6NOnD+bNm+fV8/r164eZM2ciNTW1kXpGRO6w0kRE5CfLli1Dq1atvHpOQUEB/vjHP2LChAmN1Csi8oSVJiIiIiIFWGkiIiIiUoChiYiIiEgBhiYiIiIiBRiaiIiIiBRgaCIiIiJSgKGJiIiISAGGJiIiIiIFGJqIiIiIFGBoIiIiIlLg/wHCUEwx7f6c+gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# FigS24A 42K positive\n",
    "B00_full = spio.loadmat('data/B0042Icpos.mat',squeeze_me=True)\n",
    "B00_half = spio.loadmat('data/B0042Icposh.mat',squeeze_me=True)\n",
    "Full10K = B00_full['Ic5Kpos'] \n",
    "Half10K = B00_half['Ic5Kposh']\n",
    "\n",
    "idatapf = az.from_netcdf(\"data/B0042FullPos.nc\")\n",
    "idataph = az.from_netcdf(\"data/B0042HalfPos.nc\")\n",
    "\n",
    "# plot the pdf of the histogram and fit\n",
    "I = np.linspace(0, 1.5, 10000)*(10**(-3))\n",
    "q_ph = idataph.posterior.quantile([0.50])\n",
    "critical_current_ph = q_ph['critical_current'].sel(quantile=0.5).to_numpy()\n",
    "U_0_ph = q_ph['U_0'].sel(quantile=0.5).to_numpy()\n",
    "\n",
    "q_pf = idatapf.posterior.quantile([0.50])\n",
    "critical_current_pf = q_pf['critical_current'].sel(quantile=0.5).to_numpy()\n",
    "U_0_pf = q_pf['U_0'].sel(quantile=0.5).to_numpy()\n",
    "\n",
    "f_j0 = 1.4*10**12\n",
    "ramp_speed = 6/(10**3)\n",
    "Temp = 42 #Change the Temperature for different fits\n",
    "\n",
    "# Create an object to plot the pdf of the model\n",
    "failure_distph = simulating_data.FailureDist_new(name=\"failures\", ramp_speed = ramp_speed, critical_current=critical_current_ph,\n",
    "                                   f_j0=f_j0, Temp=Temp,U_0=U_0_ph)\n",
    "\n",
    "failure_distpf = simulating_data.FailureDist_new(name=\"failures\", ramp_speed = ramp_speed, critical_current=critical_current_pf,\n",
    "                                   f_j0=f_j0, Temp=Temp,U_0=U_0_pf)\n",
    "\n",
    "fig,ax2 = plt.subplots()\n",
    "ax2.plot(I, failure_distph.pdf(I));\n",
    "ax2.plot(I, failure_distpf.pdf(I));\n",
    "plt.xlim([0/(10**3),1.5/(10**3)])\n",
    "ax2.hist(Half10K/(10**3),density=True);\n",
    "ax2.hist(Full10K/(10**3),density=True)\n",
    "plt.xlabel('Current (A)');\n",
    "plt.ylabel('Probability Density');\n",
    "plt.title('pdf of data vs fit');\n",
    "plt.ylim([0, 60000]);\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "736259b9-7dab-4c37-8c75-b2aebdcc4413",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# FigS24A 54K positive\n",
    "B00_full = spio.loadmat('data/B0054Icpos.mat',squeeze_me=True)\n",
    "B00_half = spio.loadmat('data/B0054Icposh.mat',squeeze_me=True)\n",
    "Full10K = B00_full['Ic5Kpos'] \n",
    "Half10K = B00_half['Ic5Kposh']\n",
    "\n",
    "idatapf = az.from_netcdf(\"data/B0054FullPos.nc\")\n",
    "idataph = az.from_netcdf(\"data/B0054HalfPos.nc\")\n",
    "# plot the pdf of the histogram and fit\n",
    "I = np.linspace(0, 1.5, 10000)*(10**(-3))\n",
    "q_ph = idataph.posterior.quantile([0.50])\n",
    "critical_current_ph = q_ph['critical_current'].sel(quantile=0.5).to_numpy()\n",
    "U_0_ph = q_ph['U_0'].sel(quantile=0.5).to_numpy()\n",
    "\n",
    "q_pf = idatapf.posterior.quantile([0.50])\n",
    "critical_current_pf = q_pf['critical_current'].sel(quantile=0.5).to_numpy()\n",
    "U_0_pf = q_pf['U_0'].sel(quantile=0.5).to_numpy()\n",
    "\n",
    "f_j0 = 1.4*10**12\n",
    "ramp_speed = 6/(10**3)\n",
    "Temp = 54 #Change the Temperature for different fits\n",
    "\n",
    "# Create an object to plot the pdf of the model\n",
    "failure_distph = simulating_data.FailureDist_new(name=\"failures\", ramp_speed = ramp_speed, critical_current=critical_current_ph,\n",
    "                                   f_j0=f_j0, Temp=Temp,U_0=U_0_ph)\n",
    "\n",
    "failure_distpf = simulating_data.FailureDist_new(name=\"failures\", ramp_speed = ramp_speed, critical_current=critical_current_pf,\n",
    "                                   f_j0=f_j0, Temp=Temp,U_0=U_0_pf)\n",
    "\n",
    "fig,ax2 = plt.subplots()\n",
    "ax2.plot(I, failure_distph.pdf(I));\n",
    "ax2.plot(I, failure_distpf.pdf(I));\n",
    "plt.xlim([0/(10**3),1.5/(10**3)])\n",
    "ax2.hist(Half10K/(10**3),density=True);\n",
    "ax2.hist(Full10K/(10**3),density=True)\n",
    "plt.xlabel('Current (A)');\n",
    "plt.ylabel('Probability Density');\n",
    "plt.title('pdf of data vs fit');\n",
    "plt.ylim([0, 75000]);\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "b736701f-f7b4-4789-ad6c-a25813e7934a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.036546012540832847\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# FigS24A 10K negative\n",
    "B00_full = spio.loadmat('data/B0010Icneg.mat',squeeze_me=True)\n",
    "B00_half = spio.loadmat('data/B0010Icnegh.mat',squeeze_me=True)\n",
    "Full10Kn = -B00_full['Ic5Kneg'] # flip the sign of the critical current for inference\n",
    "Half10Kn = -B00_half['Ic5Knegh']\n",
    "\n",
    "idatanf = az.from_netcdf(\"data/B0010FullNeg.nc\")\n",
    "idatanh = az.from_netcdf(\"data/B0010HalfNeg.nc\")\n",
    "# plot the pdf of the histogram and fit\n",
    "I = np.linspace(0, 1.5, 10000)*(10**(-3))\n",
    "q_nh = idatanh.posterior.quantile([0.50])\n",
    "critical_current_nh = q_nh['critical_current'].sel(quantile=0.5).to_numpy()\n",
    "U_0_nh = q_nh['U_0'].sel(quantile=0.5).to_numpy()\n",
    "\n",
    "q_nf = idatanf.posterior.quantile([0.50])\n",
    "critical_current_nf = q_nf['critical_current'].sel(quantile=0.5).to_numpy()\n",
    "U_0_nf = q_nf['U_0'].sel(quantile=0.5).to_numpy()\n",
    "\n",
    "f_j0 = 1.4*10**12\n",
    "ramp_speed = 6/(10**3)\n",
    "Temp = 10 #Change the Temperature for different fits\n",
    "\n",
    "# Create an object to plot the pdf of the model\n",
    "failure_distnh = simulating_data.FailureDist_new(name=\"failures\", ramp_speed = ramp_speed, critical_current=critical_current_nh,\n",
    "                                   f_j0=f_j0, Temp=Temp,U_0=U_0_nh)\n",
    "\n",
    "failure_distnf = simulating_data.FailureDist_new(name=\"failures\", ramp_speed = ramp_speed, critical_current=critical_current_nf,\n",
    "                                   f_j0=f_j0, Temp=Temp,U_0=U_0_nf)\n",
    "\n",
    "fig,ax2 = plt.subplots()\n",
    "ax2.plot(-I, failure_distnh.pdf(I));\n",
    "ax2.plot(-I, failure_distnf.pdf(I));\n",
    "plt.xlim([-1.5/(10**3),0/(10**3)])\n",
    "ax2.hist(-Half10Kn/(10**3),density=True);\n",
    "ax2.hist(-Full10Kn/(10**3),density=True)\n",
    "plt.xlabel('Current (A)');\n",
    "plt.ylabel('Probability Density');\n",
    "plt.title('pdf of data vs fit');\n",
    "plt.ylim([0, 45000]);\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "62d6a3fa-6d5d-4b7a-8a0f-745b4371e987",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# FIgS24A 32K negative\n",
    "B00_full = spio.loadmat('data/B0032Icneg.mat',squeeze_me=True)\n",
    "B00_half = spio.loadmat('data/B0032Icnegh.mat',squeeze_me=True)\n",
    "Full10Kn = -B00_full['Ic5Kneg'] # flip the sign of the critical current for inference\n",
    "Half10Kn = -B00_half['Ic5Knegh']\n",
    "\n",
    "idatanf = az.from_netcdf(\"data/B0032FullNeg.nc\")\n",
    "idatanh = az.from_netcdf(\"data/B0032HalfNeg.nc\")\n",
    "# plot the pdf of the histogram and fit\n",
    "I = np.linspace(0, 1.5, 10000)*(10**(-3))\n",
    "q_nh = idatanh.posterior.quantile([0.50])\n",
    "critical_current_nh = q_nh['critical_current'].sel(quantile=0.5).to_numpy()\n",
    "U_0_nh = q_nh['U_0'].sel(quantile=0.5).to_numpy()\n",
    "\n",
    "q_nf = idatanf.posterior.quantile([0.50])\n",
    "critical_current_nf = q_nf['critical_current'].sel(quantile=0.5).to_numpy()\n",
    "U_0_nf = q_nf['U_0'].sel(quantile=0.5).to_numpy()\n",
    "\n",
    "f_j0 = 1.4*10**12\n",
    "ramp_speed = 6/(10**3)\n",
    "Temp = 32 #Change the Temperature for different fits\n",
    "\n",
    "# Create an object to plot the pdf of the model\n",
    "failure_distnh = simulating_data.FailureDist_new(name=\"failures\", ramp_speed = ramp_speed, critical_current=critical_current_nh,\n",
    "                                   f_j0=f_j0, Temp=Temp,U_0=U_0_nh)\n",
    "\n",
    "failure_distnf = simulating_data.FailureDist_new(name=\"failures\", ramp_speed = ramp_speed, critical_current=critical_current_nf,\n",
    "                                   f_j0=f_j0, Temp=Temp,U_0=U_0_nf)\n",
    "\n",
    "fig,ax2 = plt.subplots()\n",
    "ax2.plot(-I, failure_distnh.pdf(I));\n",
    "ax2.plot(-I, failure_distnf.pdf(I));\n",
    "plt.xlim([-1.5/(10**3),0/(10**3)])\n",
    "ax2.hist(-Half10Kn/(10**3),density=True);\n",
    "ax2.hist(-Full10Kn/(10**3),density=True)\n",
    "plt.xlabel('Current (A)');\n",
    "plt.ylabel('Probability Density');\n",
    "plt.title('pdf of data vs fit');\n",
    "plt.ylim([0, 25000]);\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "650e63cc-7672-422c-8608-613fa0db6938",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# FigS24A 42K negative\n",
    "B00_full = spio.loadmat('data/B0042Icneg.mat',squeeze_me=True)\n",
    "B00_half = spio.loadmat('data/B0042Icnegh.mat',squeeze_me=True)\n",
    "Full10Kn = -B00_full['Ic5Kneg'] # flip the sign of the critical current for inference\n",
    "Half10Kn = -B00_half['Ic5Knegh']\n",
    "\n",
    "idatanf = az.from_netcdf(\"data/B0042FullNeg.nc\")\n",
    "idatanh = az.from_netcdf(\"data/B0042HalfNeg.nc\")\n",
    "# plot the pdf of the histogram and fit\n",
    "I = np.linspace(0, 1.5, 10000)*(10**(-3))\n",
    "q_nh = idatanh.posterior.quantile([0.50])\n",
    "critical_current_nh = q_nh['critical_current'].sel(quantile=0.5).to_numpy()\n",
    "U_0_nh = q_nh['U_0'].sel(quantile=0.5).to_numpy()\n",
    "\n",
    "q_nf = idatanf.posterior.quantile([0.50])\n",
    "critical_current_nf = q_nf['critical_current'].sel(quantile=0.5).to_numpy()\n",
    "U_0_nf = q_nf['U_0'].sel(quantile=0.5).to_numpy()\n",
    "\n",
    "f_j0 = 1.4*10**12\n",
    "ramp_speed = 6/(10**3)\n",
    "Temp = 42 #Change the Temperature for different fits\n",
    "\n",
    "# Create an object to plot the pdf of the model\n",
    "failure_distnh = simulating_data.FailureDist_new(name=\"failures\", ramp_speed = ramp_speed, critical_current=critical_current_nh,\n",
    "                                   f_j0=f_j0, Temp=Temp,U_0=U_0_nh)\n",
    "\n",
    "failure_distnf = simulating_data.FailureDist_new(name=\"failures\", ramp_speed = ramp_speed, critical_current=critical_current_nf,\n",
    "                                   f_j0=f_j0, Temp=Temp,U_0=U_0_nf)\n",
    "\n",
    "fig,ax2 = plt.subplots()\n",
    "ax2.plot(-I, failure_distnh.pdf(I));\n",
    "ax2.plot(-I, failure_distnf.pdf(I));\n",
    "plt.xlim([-1.5/(10**3),0/(10**3)])\n",
    "ax2.hist(-Half10Kn/(10**3),density=True);\n",
    "ax2.hist(-Full10Kn/(10**3),density=True)\n",
    "plt.xlabel('Current (A)');\n",
    "plt.ylabel('Probability Density');\n",
    "plt.title('pdf of data vs fit');\n",
    "plt.ylim([0, 60000]);\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "fa42f6b7-0db4-4057-835d-8f5718d3fa47",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# FigS24A 54K negative\n",
    "B00_full = spio.loadmat('data/B0054Icneg.mat',squeeze_me=True)\n",
    "B00_half = spio.loadmat('data/B0054Icnegh.mat',squeeze_me=True)\n",
    "Full10Kn = -B00_full['Ic5Kneg'] # flip the sign of the critical current for inference\n",
    "Half10Kn = -B00_half['Ic5Knegh']\n",
    "\n",
    "idatanf = az.from_netcdf(\"data/B0054FullNeg.nc\")\n",
    "idatanh = az.from_netcdf(\"data/B0054HalfNeg.nc\")\n",
    "# plot the pdf of the histogram and fit\n",
    "I = np.linspace(0, 1.5, 10000)*(10**(-3))\n",
    "q_nh = idatanh.posterior.quantile([0.50])\n",
    "critical_current_nh = q_nh['critical_current'].sel(quantile=0.5).to_numpy()\n",
    "U_0_nh = q_nh['U_0'].sel(quantile=0.5).to_numpy()\n",
    "\n",
    "q_nf = idatanf.posterior.quantile([0.50])\n",
    "critical_current_nf = q_nf['critical_current'].sel(quantile=0.5).to_numpy()\n",
    "U_0_nf = q_nf['U_0'].sel(quantile=0.5).to_numpy()\n",
    "\n",
    "f_j0 = 1.4*10**12\n",
    "ramp_speed = 6/(10**3)\n",
    "Temp = 54 #Change the Temperature for different fits\n",
    "\n",
    "# Create an object to plot the pdf of the model\n",
    "failure_distnh = simulating_data.FailureDist_new(name=\"failures\", ramp_speed = ramp_speed, critical_current=critical_current_nh,\n",
    "                                   f_j0=f_j0, Temp=Temp,U_0=U_0_nh)\n",
    "\n",
    "failure_distnf = simulating_data.FailureDist_new(name=\"failures\", ramp_speed = ramp_speed, critical_current=critical_current_nf,\n",
    "                                   f_j0=f_j0, Temp=Temp,U_0=U_0_nf)\n",
    "\n",
    "fig,ax2 = plt.subplots()\n",
    "ax2.plot(-I, failure_distnh.pdf(I));\n",
    "ax2.plot(-I, failure_distnf.pdf(I));\n",
    "plt.xlim([-1.5/(10**3),0/(10**3)])\n",
    "ax2.hist(-Half10Kn/(10**3),density=True);\n",
    "ax2.hist(-Full10Kn/(10**3),density=True)\n",
    "plt.xlabel('Current (A)');\n",
    "plt.ylabel('Probability Density');\n",
    "plt.title('pdf of data vs fit');\n",
    "plt.ylim([0, 70000]);\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "id": "c5a074c7-6a96-44d6-8747-efccb5933119",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x16252af7290>"
      ]
     },
     "execution_count": 103,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# FigS24B\n",
    "Temp = np.array([10,32,42,54])\n",
    "U_0 = np.array([0.056,0.05,0.129,0.346])\n",
    "U_0half = np.array([0.038,0.055,0.136,0.281])\n",
    "U_0neg = np.array([0.031,0.05,0.19,0.358])\n",
    "U_0neghalf = np.array([0.040,0.036,0.232,0.381])\n",
    "plt.figure()\n",
    "plt.plot(Temp,U_0,'o',label='FullPos')\n",
    "plt.plot(Temp,U_0half,'o',label='HalfPos')\n",
    "plt.plot(Temp,U_0neg,'o',label='FullNeg')\n",
    "plt.plot(Temp,U_0neghalf,'o',label='HalfNeg')\n",
    "plt.xlabel('Temperature(K)')\n",
    "plt.ylabel('alpha')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "id": "bf50a040-701b-41ea-a3d3-b4071c79915c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# FigS24C\n",
    "C00_full22 = spio.loadmat('data/C0022Icpos.mat',squeeze_me=True)\n",
    "Full22K = C00_full22['Ic5Kpos']\n",
    "C00_full40 = spio.loadmat('data/C0040Icpos.mat',squeeze_me=True)\n",
    "Full40K = C00_full40['Ic5Kpos']\n",
    "C00_full60 = spio.loadmat('data/C0060Icpos.mat',squeeze_me=True)\n",
    "Full60K = C00_full60['Ic5Kpos']\n",
    "\n",
    "idataf22 = az.from_netcdf(\"data/C0022FullPos2.nc\")\n",
    "idataf40 = az.from_netcdf(\"data/C0040FullPos.nc\")\n",
    "idataf60 = az.from_netcdf(\"data/C0060FullPos.nc\")\n",
    "# plot the pdf of the histogram and fit\n",
    "I = np.linspace(0, 0.4, 10000)*(10**(-3))\n",
    "\n",
    "q_22 = idataf22.posterior.quantile([0.50])\n",
    "critical_current_22 = q_22['critical_current'].sel(quantile=0.5).to_numpy()\n",
    "U_0_22 = q_22['U_0'].sel(quantile=0.5).to_numpy()\n",
    "Temp = 22 #Change the Temperature for different fits\n",
    "f_j0 = 1.52*10**12\n",
    "ramp_speed = 1.44/10**3\n",
    "# Create an object to plot the pdf of the model\n",
    "failure_dist22 = simulating_data.FailureDist_new(name=\"failures\", ramp_speed = ramp_speed, critical_current=critical_current_22,\n",
    "                                   f_j0=f_j0, Temp=Temp,U_0=U_0_22)\n",
    "\n",
    "q_40 = idataf40.posterior.quantile([0.50])\n",
    "critical_current_40 = q_40['critical_current'].sel(quantile=0.5).to_numpy()\n",
    "U_0_40 = q_40['U_0'].sel(quantile=0.5).to_numpy()\n",
    "Temp = 40 #Change the Temperature for different fits\n",
    "f_j0 = 1.52*10**12\n",
    "ramp_speed = 1.44/10**3\n",
    "# Create an object to plot the pdf of the model\n",
    "failure_dist40 = simulating_data.FailureDist_new(name=\"failures\", ramp_speed = ramp_speed, critical_current=critical_current_40,\n",
    "                                   f_j0=f_j0, Temp=Temp,U_0=U_0_40)\n",
    "\n",
    "q_60 = idataf60.posterior.quantile([0.50])\n",
    "critical_current_60 = q_60['critical_current'].sel(quantile=0.5).to_numpy()\n",
    "U_0_60 = q_60['U_0'].sel(quantile=0.5).to_numpy()\n",
    "Temp = 60 #Change the Temperature for different fits\n",
    "f_j0 = 1.52*10**12\n",
    "ramp_speed = 1.44/10**3\n",
    "# Create an object to plot the pdf of the model\n",
    "failure_dist60 = simulating_data.FailureDist_new(name=\"failures\", ramp_speed = ramp_speed, critical_current=critical_current_60,\n",
    "                                   f_j0=f_j0, Temp=Temp,U_0=U_0_60)\n",
    "\n",
    "fig,ax2 = plt.subplots()\n",
    "ax2.plot(I, failure_dist22.pdf(I));\n",
    "#ax2.plot(I, failure_dist40.pdf(I));\n",
    "#ax2.plot(I, failure_dist60.pdf(I));\n",
    "plt.xlim([0/(10**3),0.4/(10**3)])\n",
    "ax2.hist(Full22K/(10**4),density=True)\n",
    "#ax2.hist(Full40K/(10**4),density=True)\n",
    "#ax2.hist(Full60K/(10**4),density=True)\n",
    "plt.xlabel('Current (A)');\n",
    "plt.ylabel('Probability Density');\n",
    "plt.title('pdf of data vs fit');\n",
    "plt.ylim([0, 250000]);\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "07a21f23-1e13-4c85-898f-f8c70b537f9a",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
